Derivatives Review

7.

• (A)

• (B)

• (C)

• (D)

f' is given, which could be f?

• A
• B
• C

• A

• B

• C

• D

Find h'(3)

• -2
• 0
• 1
• 3

• 1/2
• -1/2
• 0
• 3/2

The limit definition of a general derivative, at any point x, is

• There is no such definition

• A
• B
• D
• E

Find the derivative f(x) = xe^x

• f'(x) = e^x

• f'(x) = xe^x + xe^x

• f'(x) = e^x - xe^x

• f'(x) = e^x + xe^x

Find the derivative.
f(x) = -8x^-3 + 5x - e^x

• f'(x) = -24x^-4 + 5 - e^x
• f'(x) = 24x^-4 + 5 - e^x
• f'(x) = 24x^-2 + 5 - e^x
• f'(x) = 24x^-4 + 5 - e^x-1

Find the second derivative of
f(x) = x² + e^x  - cosx

• f"(x) = 2 + e^x + cosx
• f"(x) = 2x + e^x + cosx
• f"(x) = 2x + xe^x - cosx
• f"(x) = 2x + e^x + sinx