Review of Calculus

Question 1

If F(X) = 2X3 +100X2 + 89X + 10, then what will the F'''(X) = ?

Accepted Answer

12

Question 2

Find the equation for the tangent line at a given point: f(x)=-5x2+8x+2; x=3

Accepted Answer

y+19=22(x-3)

Question 3

derive x2+100000000

Accepted Answer

2x

Question 4

Given Y = -25Cos(X) + 44Sin(X). What is Y' = ?

Accepted Answer

25Sin(X) + 44Cos(X)

Question 5

If Y = Tan(X) + 10Cos(X) + 144Sin(X). What is Y' = ?

Accepted Answer

Sec2(X) - 10Sin(X) + 144Cos(X)

Question 6

what is slope

Accepted Answer

m=(y1-y2)/(x1-x2)

Question 7

derive 3x2+14

Accepted Answer

6x

Question 8

Given Y= 1/X5 . What is an equivalent equation?

Accepted Answer

X-5

Question 9

Find the derivative of 2x4

Accepted Answer

8x3

Question 10

Where does a limit not occur?

Accepted Answer

Breaks

Question 11

If F(X) = X3 What is F’(X) = ?

Accepted Answer

3X2

Question 12

What is the antiderivative of (sec x)^2

Accepted Answer

tan x

Question 13

Find DY/DX, If Y=(X2 + 1) (X3 + 3)

Accepted Answer

5X4 + 3X2 + 6X

Question 14

Determine the slope of f(x) = 3x2 - 5x for x = -½

Accepted Answer

-8

Question 15

If F(X) = √(2X), what is F'(X) = ?

Accepted Answer

1/(√(2X))

Question 16

If Y= 5X2 + 10X + 5 Sin(X), Find Y'(X).

Accepted Answer

10X + 10 + 5Cos(X)

Question 17

what is the antiderivative of cos x

Accepted Answer

sin x

Question 18

Given Y = 1/X. What is the derivative of Y?

Accepted Answer

-X-2

Question 19

Find f''(x) for f(x) = -3x5 + 11x - 3x2 + 5

Accepted Answer

-60x3 - 6

Question 20

limx->2 (x-1)/(x+2)

Accepted Answer

1/4

Question 21

whats lower than -∞

Accepted Answer

nothing, JP self eestem

Question 22

What is the derivative of Cos x?

Accepted Answer

-sin x

Question 23

∫18x2 dx

Accepted Answer

6x3+C

Question 24

Evaluate the following limit

Accepted Answer

1/3

Question 25

If F(X) = √(X), then what does F'(X) = ?

Accepted Answer

1/2√(X)

Question 26

Find the second derivative if Y= 4 - 2X - X-3

Accepted Answer

-12X-5

Question 27

what is the derivative of x3

Accepted Answer

3 x2

Question 28

limx->2 8

Accepted Answer

8

Question 29

what is the term for 0/0

Accepted Answer

indeterminate

Question 30

Given Y= 10X5 + 25X4 + 10X2 + 45.What is Y'' = ?

Accepted Answer

200X3 + 300X2 + 20

Question 31

Find DY/DX, If Y=(X2 + 1) (X3 + 3)

Accepted Answer

5X4 + 3X2 + 6X

Question 32

On what equation do you add "+c"

Accepted Answer

integrals

Question 33

lim x→3 (2x2 - 1) =

Accepted Answer

17

Question 34

What is the antiderivative of sin 2x

Accepted Answer

-1/2 cos 2x

Question 35

True Or False? The Fourth Derivative of the Cos(X) is equal to - Cos(X).

Accepted Answer

FALSE

Question 36

Evaluate the following limit

Accepted Answer

-1/3

Question 37

Find the derivative of g(x)=3x2-∜(x3)

Accepted Answer

6x-(3/4)x-1/4

Question 38

If F(X) = Sin(X), then what is F''(X) = ?

Accepted Answer

-Sin(X)

Question 39

Given Y = -25Cos(X) + 44Sin(X). Which of the following is incorrect?

Accepted Answer

Y''' = 25Sin(X) - 44Cos(X)

Question 40

derive 22+100000000x

Accepted Answer

100000000

Question 41

If u and v are two differentiable functions of x, then their sum u + v is differentiable.

Accepted Answer

TRUE

Question 42

Evaluate the following limit

Accepted Answer

1/4

Question 43

Now Calculate the derivative of Y= 1/X5

Accepted Answer

-5X-6

Question 44

∫12ex-5x-2dx

Accepted Answer

12ex+5x-1+C

Question 45

Can the function f(x) = (2x + 3)2 be derived using product rule?

Accepted Answer

Yes

Question 46

limx->-5 -10x+5

Accepted Answer

55

Question 47

find the limit of x2-16/x-4 when x→4

Accepted Answer

8

Question 48

derive 10x3+2x2+5x

Accepted Answer

30x2+4x+5

Question 49

Evaluate the following limit

Accepted Answer

-1

Question 50

True Or False? The Derivative of the Cosine function is the negative of the Sine function?

Accepted Answer

TRUE

Review of Calculus

Questions 50

Review of Calculus

Questions 50