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# Computing Derivatives: What's in a Slope? Quiz

Think you’ve got your head wrapped around Computing Derivatives? Put your knowledge to the test. Good luck — the Stickman is counting on you!
Q. Let f(x) = e. Then

f ' (x) is undefined because f has no slope.
f ' (x) = 0
f ' (x) = 1
f ' (x) = e
Q. What is the derivative of f(x) = 5x + 6?

f ' (x) = 0
f ' (x) = 1
f ' (x) = 5
f ' (x) = 6
Q. Which of the following is not a power function?

f(x) = x-2

f(x) = x(0.5)

Q. For which function f(x) is f ' (x) = -3x-4?

f(x) = x-2
f(x) = x-3
f(x) = x-4
f(x) = x-5
Q. What is the derivative of f(x) = ex?

f ' (x) = ex

f ' (x) = ex(ln x)

f ' (x) = xe(x – 1)

f ' (x) = 1
Q. The slope of the function f(x) = ex is

sometimes positive, sometimes negative, and sometimes 0.
always either 0 or positive.
always positive.
sometimes positive and sometimes undefined.
Q. Let f(x) = 6x. Then

f ' (x) = 6x

f ' (x) = 6x(ln 6)

f ' (x) = 6x ln 6

f ' (x) = (ln 6)x

Q. Which function f(x) has the derivative f ' (x) = x-1?

f(x) = x-2

f(x) = ln x

f(x) = log x

Q. Let f(x) = cos(x). Then

f ' (x) = sin(x)

f ' (x) = cos(x)

f ' (x) = -sin(x)

f ' (x) = -cos(x)

Q. Which function's derivative is f ' (x) = sin(x)?

f(x) = sin(x)

f(x) = cos(x)

f(x) = -sin(x)

f(x) = -cos(x)