Derivative Recap

• A
• B
• C
• D

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx

Find h'(3)

• -2
• 0
• 1
• 3

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

lim_x→0 sin(6x) ∕ sin(2x)

• 1/3
• 3
• 1
• w

Derive y=e^3x

• e^3x
• 3e^3x
• 3x
• 3xe^3x

Tags

CCSS.HSF-IF.C.8B

• 1/2
• -1/2
• 0
• 3/2

• sina

• -sina

• cosa

• -cosa

• 2x

• 3

• 6

• 9

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