Calculus Challenge

Question 1

Evaluate: limx->0 (sin(x)/x)

Accepted Answer

1

Question 2

Evaluate: limx->0 (sin(x)/x)

Accepted Answer

1

Question 3

What is the integral of 1/x dx?

Accepted Answer

ln|x| + C

Question 4

Which function has no critical points?

Accepted Answer

f(x) = e^x

Question 5

What does the limit limx-> (1 + 1/x)^x approach?

Accepted Answer

e

Question 6

What is the derivative of sin(x)?

Accepted Answer

cos(x)

Question 7

What does the limit limx-> (1 + 1/x)^x approach?

Accepted Answer

e

Question 8

What is the slope of the tangent line to f(x) = x^2 at x = 3?

Accepted Answer

6

Question 9

What is the slope of the tangent line to f(x) = x^2 at x = 3?

Accepted Answer

6

Question 10

A function is differentiable if it is...

Accepted Answer

Continuous and smooth

Question 11

Which function has no critical points?

Accepted Answer

f(x) = e^x

Question 12

What is the integral of 1/x dx?

Accepted Answer

ln|x| + C

Question 13

What is the slope of the tangent line to f(x) = x^2 at x = 3?

Accepted Answer

6

Question 14

Which function has no critical points?

Accepted Answer

f(x) = e^x

Question 15

If f(x) = ln(x), then f'(x) = ?

Accepted Answer

1/x

Question 16

Which function has no critical points?

Accepted Answer

f(x) = e^x

Question 17

What does the limit limx-> (1 + 1/x)^x approach?

Accepted Answer

e

Question 18

What is the integral of 1/x dx?

Accepted Answer

ln|x| + C

Question 19

Evaluate: limx->0 (sin(x)/x)

Accepted Answer

1

Question 20

What is the derivative of sin(x)?

Accepted Answer

cos(x)

Question 21

Evaluate: limx->0 (sin(x)/x)

Accepted Answer

1

Question 22

What is the derivative of sin(x)?

Accepted Answer

cos(x)

Question 23

The area under a curve from a to b is given by?

Accepted Answer

Integral from a to b f(x) dx

Question 24

What is the derivative of sin(x)?

Accepted Answer

cos(x)

Question 25

What is the integral of 1/x dx?

Accepted Answer

ln|x| + C

Question 26

What is the integral of 1/x dx?

Accepted Answer

ln|x| + C

Question 27

What does the limit limx-> (1 + 1/x)^x approach?

Accepted Answer

e

Question 28

A function is differentiable if it is...

Accepted Answer

Continuous and smooth

Question 29

What does the limit limx-> (1 + 1/x)^x approach?

Accepted Answer

e

Question 30

Which function has no critical points?

Accepted Answer

f(x) = e^x

Question 31

A function is differentiable if it is...

Accepted Answer

Continuous and smooth

Question 32

What is the slope of the tangent line to f(x) = x^2 at x = 3?

Accepted Answer

6

Question 33

Which function has no critical points?

Accepted Answer

f(x) = e^x

Question 34

What is the integral of 1/x dx?

Accepted Answer

ln|x| + C

Question 35

Evaluate: limx->0 (sin(x)/x)

Accepted Answer

1

Question 36

What does the limit limx-> (1 + 1/x)^x approach?

Accepted Answer

e

Question 37

What is the slope of the tangent line to f(x) = x^2 at x = 3?

Accepted Answer

6

Question 38

Find the derivative: d/dx [cos(3x)]

Accepted Answer

-3sin(3x)

Question 39

What is the slope of the tangent line to f(x) = x^2 at x = 3?

Accepted Answer

6

Question 40

If f(x) = ln(x), then f'(x) = ?

Accepted Answer

1/x

Question 41

What is the derivative of sin(x)?

Accepted Answer

cos(x)

Question 42

A function is differentiable if it is...

Accepted Answer

Continuous and smooth

Question 43

What is the slope of the tangent line to f(x) = x^2 at x = 3?

Accepted Answer

6

Question 44

What is the slope of the tangent line to f(x) = x^2 at x = 3?

Accepted Answer

6

Question 45

What is the integral of 1/x dx?

Accepted Answer

ln|x| + C

Question 46

If f(x) = ln(x), then f'(x) = ?

Accepted Answer

1/x

Question 47

Evaluate: limx->0 (sin(x)/x)

Accepted Answer

1

Question 48

A function is differentiable if it is...

Accepted Answer

Continuous and smooth

Question 49

If f(x) = ln(x), then f'(x) = ?

Accepted Answer

1/x

Question 50

What is the derivative of sin(x)?

Accepted Answer

cos(x)

Question 51

Which function has no critical points?

Accepted Answer

f(x) = e^x

Question 52

If f(x) = ln(x), then f'(x) = ?

Accepted Answer

1/x

Question 53

If f(x) = ln(x), then f'(x) = ?

Accepted Answer

1/x

Question 54

What is the derivative of sin(x)?

Accepted Answer

cos(x)

Question 55

What does the limit limx-> (1 + 1/x)^x approach?

Accepted Answer

e

Question 56

A function is differentiable if it is...

Accepted Answer

Continuous and smooth

Calculus Challenge

Questions 56

Calculus Challenge

Questions 56