help.me with Ap calc please ​

Help.me With Ap Calc Please

Answers

Answer 1

Answer:

[tex]\displaystyle f'(1) = 6[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]  

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = 5x - 1 + \ln x[/tex]

Step 2: Differentiate

[Function] Derivative Property [Addition/Subtraction]:                               [tex]\displaystyle f'(x) = \frac{d}{dx}[5x] - \frac{d}{dx}[1] + \frac{d}{dx}[\ln x][/tex]Rewrite [Derivative Property - Multiplied Constant]:                                   [tex]\displaystyle f'(x) = 5 \frac{d}{dx}[x] - \frac{d}{dx}[1] + \frac{d}{dx}[\ln x][/tex]Derivative Rule [Basic Power Rule]:                                                             [tex]\displaystyle f'(x) = 5 - 0 + \frac{d}{dx}[\ln x][/tex]Logarithmic Differentiation:                                                                         [tex]\displaystyle f'(x) = 5 + \frac{1}{x}[/tex]Substitute in x:                                                                                               [tex]\displaystyle f'(1) = 5 + \frac{1}{1}[/tex]Simplify:                                                                                                         [tex]\displaystyle f'(1) = 6[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation


Related Questions

someone help me with this please

Answers

Answer:

7.5+8

Step-by-step explanation:

4. Tres albañiles trabajaron en una construcción. Francisco trabajó el doble de horas que Eduardo y Eduardo trabajó el cuádruple de horas de las que trabajó Hugo. Entre los tres hermanos trabajaron 104 horas ¿Cuántas horas trabajó cada uno? Planteamiento algebraico: Procedimiento:

Answers

Answer:

La cantidad de horas que trabajó Hugo son 8, mientras que Eduardo trabajó 32 horas y Francisco 64 horas.

Step-by-step explanation:

En primer lugar, para determinar la ecuación que debes resolver, es conveniente establecer la variable a la que debes encontrar una solución en la ecuación. Entonces, llamas x a la cantidad de horas que trabajó Hugo.

Luego, sabes que Eduardo trabajó el cuádruple de horas de las que trabajó Hugo, esto es, cuatro veces más de las horas trabajadas por Hugo. Esto se expresa matemáticamente como 4*x.

Finalmente, Francisco trabajó el doble de horas que Eduardo, que se calcula multiplicando a las horas trabajadas por Eduardo por 2: 2*4*x= 8*x

Entre los tres hermanos trabajaron 104 horas. Esto indica que la suma de las horas trabajadas por Francisco, Eduardo y Hugo debe ser 104 horas. Esto se expresa matemáticamente como:

x + 4*x+ 8*x= 104 (Planteamiento algebraico)

Resolviendo (Procedimiento):

13*x=104

[tex]x=\frac{104}{13}[/tex]

x=8

Esto significa que la cantidad de horas que trabajó Hugo son 8.

Eduardo trabajó 4*x, esto es 4*8, que da como resultado 32 horas. Entonces Eduardo trabajó 32 horas.

Por último, Francisco trabajó 8*x. Siendo x=8, entonces 8*8=64. Entonces Francisco trabajó 64 horas.

Hugo trabajó 8 horas, Eduardo trabajó 32 horas y Francisco trabajó 64 horas.

Dado que tres albañiles trabajaron en una construcción, y Francisco trabajó el doble de horas que Eduardo y Eduardo trabajó el cuádruple de horas de las que trabajó Hugo, y entre los tres hermanos trabajaron 104 horas, para determinar cuántas horas trabajó cada uno se debe realizar el siguiente cálculo:

E + F + H = 104F = 2EE = 4HF = 8HH + 4H + 8H = 10413H = 104H = 104 / 13H = 8

Así, Hugo trabajó 8 horas, Eduardo trabajó 32 horas y Francisco trabajó 64 horas.

Aprende más en https://brainly.com/question/22195033

Brooklyn used the division model to solve the problem
276÷12.
Which quotient matches 276÷12?
A. 3
B. 20
C. 23
D. 50

Answers

Answer:

C. 23

Step-by-step explanation:

Answer:

C. 23

Step-by-step explanation:

12 goes into 276, 23 times

A table measures 3.5 ft by 2.5 ft. What is the area of the table?

Answers

Answer:

A =  8.75 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of a table is

A = Length x Width

Given: Length=3.5ft and Width=2.5ft

A = 3.5ft x 2.5ft = 8.75 [tex]ft^{2}[/tex]

8.75ft
you simply have to multiply each of the measures to get your area.

what is negative 7 minus negative 2

Answers

Answer:

-5

Step-by-step explanation:

-7 - (-2)

-7 + 2

Example: If you owe someone $7, and you give them $2, how much do you still owe? You are owing him $7 so it's a negative and you give him $2 which is a negative as well since you are giving it to him. So, to answer how much do you still owe, you would add $2  to the $7 you owed, so now, you owe him $5, which is a negative since you OWE him.

Hope this helps:)

hii this is geometry please help!!

Answers

Answer:

40

Step-by-step explanation:

The Interior of a triangle adds up to 180. 180 - 90 - 50 = 40

distributive property is a property of equality
A) true
B) false

Answers

Answer:

The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.

The perimeter P of a rectangle is calculated using the formula P = 2(l + w), where l and w are the length and width of the rectangle. Rearrange the formula to make length (l) the subject.

Answers

Answer:

P = 2(l + w)

P = 2l + 2w

Which of the following represents the lowest speed in miles per hour?

Answers

Answer:

need more to answer can you give like units or something

Step-by-step explanation:

Answer:

need more info

Step-by-step explanation:

Solve: 3 + √x+2 = 11

62
64
()

Answers

Answer: its 62

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

a small table is 2 feet by 3 feet a large table is twice as long and rwice as wide as the small table. Whats the area of the large in square feet

Answers

Answer:

The area of larger table is 24 square feet.

Step-by-step explanation:

Given are the length and width of small table

[tex]l_s = 2\ ft\\w_s = 3\ ft[/tex]

The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table

So the length and width of larger table will be:

[tex]l_l = 2*2 = 4\ feet\\w_l = 3*2 = 6\ feet[/tex]

The area of larger table will be:

[tex]A_l = l_l*w_l\\= 4 * 6\\=24\ ft^2[/tex]

Hence,

The area of larger table is 24 square feet.

can some one help me with this please and show me how to do this?

Answers

Answer:

1.8

Step-by-step explanation:

Calculate the absolute values - the -1 turns into 1. Than the 0.8 stays the same.After that you just add them together

need answer asap
..................................

Answers

Yup it’s 66 that’s right hrhdndjdhehdhdbddhdbhdhd

Simplify
x + x + y x y?

Answers

Answer: [tex]2x+y^2[/tex]

Step-by-step explanation:

[tex]x\:+\:x\:+\:y\:\cdot \:y[/tex]

[tex]x+x+yy[/tex]

[tex]2x+yy[/tex]

[tex]2x+y^2[/tex]

Answer:

2(x)+[tex]y^{2}[/tex]

NEED HELP ASAP! Question in the photo.

Answers

Answer:

SAS Postulate

Step-by-step explanation:

You can use the SAS (side, angle, side) postulate that says "if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent"

Side AB is proportionate to DE and

Side AC is proportionate to DF.

Angle A and Angle D are the same; and is between the two sides

I hope this helps.

suppose that three pennies land heads up and you toss the forth penny. What is the probability of landing heads up?

Answers

Answer:

I'd say the probability is just 50%

Step-by-step explanation:

Write an equation that could be used to fine the number of comic books, x Jacob needs to sell in order to earn $200.

Answers

Answer:

100+x=200

Step-by-step explanation:

Sarah was sitting in a seat at a baseball game when another ticket holder showed her she was in the wrong seat. The other ticket holder kindly told Sarah she needed to go 5 rows down and 3 seats to the right. Which rule describes the translation needed to put Sarah in the correct seat?

Answers

Answer:  [tex](x,y) \to (x+3, y-5)[/tex]

The x turning into x+3 means she moves 3 seats to the right

The y turning into y-5 means she moves 5 rows down.

You have $20 to spend on taxi fare. The ride costs 5 plus $2.50dollar sign, per kilometer.
Write an inequality to determine the distance in kilometers, , you can ride for $20.

Answers

Answer: The maximum distance is 6 km

Step-by-step explanation:Let

d-----> represent the distance in kilometer

we know that

------> inequality that represent the situation

Solve for d

Hdshsshshshhsshdhdhd

A pair of shoes costs $30.99 and the state sales tax is 4%. Use the formula C = p + rp to
find the total cost of the shoes, where C is the total cost, pis the price, and r is the sales tax
rate.
$32.23
$39.19
$43.39
$34.99

Answers

Answer:

the answer is A. $32.23

Step-by-step explanation:

Answer:

$32.00

Step-by-step explanation:

To find the sales tax always multiply the sales tax to to the cost of you item.

Being your sales tax is 4%  you will Multiply 30.99 x .04 (not just 4)

30.99 x .04 = 1.2396  ( round to the nearest tenth) since the number after the 3 is 5 or above ,,,,round it off to 24...Making it $1.24 (tax)  Now add that to your cost of the shoes

$30.99 + $1.24 = $32,23

For future :  if the tax is 10, 20, 35%... You will multiply the cost of item by .10, .20, .35 (put the point in front of it .


Wendell would like to make some chocolate chips cookies. His recipe calls for the use of 1/2 cups of sugar per batch.he has 3 1/4 of sugar in his apartment. Accidentally, drops 1 cup of sugar on the floor. How many whole batches of sugar cookies can he make with the sugar he had leftover

Answers

Answer:

He can make 4 batches of sugar cookies.

Step-by-step explanation: 4x1/2=2 and because he lost 1 cup, he only has 2 cups left

An arts academy requires there to be teachers for every students and for every . How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has ​?

Answers

This question is incomplete

Complete Question

An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for every 30 students.

How many students does the academy have per​ teacher?Per​ tutor?

How many tutors does the academy need if it has 80 students

Answer:

a) 18 students per teacher

b) 10 students per tutor

c) 8 tutors

Step-by-step explanation:

a) How many students does the academy have per teacher?

5 teachers for every 90 students

Hence,

5 teachers = 90 students

1 teacher = x students

Cross Multiply

5 × x = 1 × 90

5x= 90

x = 90/5

x = 18 students

We have 18 students per teacher

b) How many students Per​ tutor?

3 tutors = 30 students.

1 tutor = x students

3 × x = 30 × 1

x = 30/3

x = 10 students

We have 10 students per tutor

c) How many tutors does the academy need if it has 80 students

3 tutors = 30 students.

30 students = 3 tutors

80 students = x tutors

Cross Multiply

30 × x = 80 × 3

x = 80 × 3/30

x = 8 tutors

The school needs 8 tutors for 80 students.

PLEASE HELP ILL MARK YOU BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

Answer:

C i think

Step-by-step explanation:

The sum of 4 consecutive even numbers is 364 A. 91 B. 65 C. 89.5 D. 182​

Answers

Answer:

91

Step-by-step explanation:

Sum of the middle two numbers is ''182'' for 4 consecutive even number.

What is Addition?

The process of combining or adding two or more numbers is called the Addition.

We have to given that;

Sum of 4 consecutive even numbers = 364

Let 4 consecutive even numbers are,

⇒ (x - 2), x, (x + 2), (x + 4)

So, We can formulate;

⇒ (x - 2) + x + (x + 2) + (x + 4) = 364

Solve for x;

⇒ 4x + 4 = 364

⇒ 4x = 364 - 4

⇒ 4x = 360

⇒ x = 90

Hence, The two middle numbers are,

⇒ (x) = 90

           

⇒ (x + 2) = 90 + 2

              = 92

So, Sum of two middle numbers = 90 + 92

                                                  = 182

Learn more about the addition visit:

https://brainly.com/question/5454147

#SPJ2

The complete question is this,

The sum of 4 consecutive even numbers is 364. What is the sum of the middle two numbers?

what is the value of this expression below when y=2 and z = 8 : 8y-z

Answers

Answer:

= 8

Step-by-step explanation:

y is 2 then 8y is 8×2=16

z is,8

8y - z is 16-8

=8

monique gave half of her necklace to her younger sisters. then she bought 4 new ones. if she now has 18, now many did she have originally

Answers

Answer:

She originally had 7 necklaces.

Step-by-step explanation:

She now has 18 necklaces. She bought four more. That would be 18 - 4 = 14. She gave half of them to her sisters. 14 divided 2 is 7.

Answer:

i think 28 possibly

Step-by-step explanation:

because she bought 4 new ones so 18-4 =14x2 =28?

i don't know if im right but hopefully this helped

Find the value of n so that PQRS is an isosceles is an isosceles trapezoid

Answers

Answer:

n=7.5°

Step-by-step explanation:

As the two lines are parallel do the equation is

(10n+19)+(12n-4)=180

10n+19+12n-4=180

22n+15=180

22n=180-15

22n=165

n=165/22

n=15/2

n=7.5

n=7.5°

Answer: it’s 11.5

Step-by-step explanation: I got it right

The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.​

Answers

9514 1404 393

Answer:

  39 cm

Step-by-step explanation:

  1521 = 3·3·13·13 = (3·13)² = 39²

The length of the side of the square is 39 cm.

Need help with this pls

Answers

Answer:

hi

Step-by-step explanation:

hi

For f(x) = 8x + 8, find f(5).

Answers

Answer:  48

Work Shown:

f(x) = 8x + 8

f(5) = 8*5 + 8

f(5) = 40 + 8

f(5) = 48

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