Question 1

What is the derivative of f(x) = 4x^3?

Accepted Answer

f'(x) = 12x^2

Answer

f'(x) = 8x^2

Answer

f'(x) = 6x^2

Answer

f'(x) = 4x^2

Question 2

Find the indefinite integral of f(x) = 2x^2 + 3x + 1.

Accepted Answer

F(x) = (2/3)x^3 + (3/2)x^2 + x + C

Answer

F(x) = x^3 + x^2 + x + C

Answer

F(x) = (3/2)x^3 + x^2 + x + C

Answer

F(x) = x^4 + (3/2)x^3 + x + C

Question 3

What is the limit of f(x) = 3x^2 + 2x - 1 as x approaches 2?

Accepted Answer

15

Answer

13

Answer

7

Answer

9

Question 4

Find the derivative of f(x) = sin(x) + cos(x)

Accepted Answer

f'(x) = cos(x) - sin(x)

Answer

f'(x) = -cos(x) + sin(x)

Answer

f'(x) = sin(x) + cos(x)

Answer

f'(x) = -sin(x) - cos(x)

Question 5

What is the range of the function f(x) = 2x - 5?

Accepted Answer

All real numbers

Answer

Odd integers

Answer

Positive real numbers

Answer

Negative real numbers

Question 6

What is the value of the definite integral of f(x) = 3x^2 - 2x + 1 from x = 0 to x = 2?

Accepted Answer

Answer

5

Answer

11

Answer

9

Question 7

Find the derivative of f(x) = e^x + 2x^3 - cos(x)

Accepted Answer

f'(x) = e^x + 6x^2 + sin(x)

Answer

f'(x) = e^x + 2x^3 + cos(x)

Answer

f'(x) = e^x - 6x^2 + sin(x)

Answer

f'(x) = e^x + 6x^2 - sin(x)

Question 8

Find the value of the limit lim(x->0) (3x^2 + 2x) / x

Accepted Answer

2

Answer

0

Answer

3

Answer

1

Question 9

What is the derivative of f(x) = ln(x) + 3x^2?

Accepted Answer

f'(x) = 1/x + 6x

Answer

f'(x) = ln(x) + 6x^2

Answer

f'(x) = 1/x + 3x

Answer

f'(x) = 1/x - 6x

Question 10

Find the value of the integral ∫(2x - 3) dx from x = 1 to x = 4.

Accepted Answer

16

Answer

12

Answer

20

Answer

8

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