Chapter 7 Derivative AP cumulative review

Find h'(3)

• -2
• 0
• 1
• 3

• -135

• -5/27

• -5/729

• -5

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Differentiate:
f(x) = x⁷ (5 + 8x)³

• f '(x) = x² (5 + 8x)⁶ (35 + 80x)
• f '(x) = x⁶ (5 + 8x)² (35 + 80x)
• f '(x) = 8x⁷ (5 + 8x)² (35 + 80x)
• f '(x) = x⁶ (5 + 8x)³ (35 + 80x)

Find dy/dx by Implicit Differentiation 
x³ +y³  = 36

• 6 -x
• 3x² +3y² 
• −x²/y²
• 0

Find dy/dx at a given point.

• 5/4
• 4/5
• 1
• -5

If H(x) = f ^-1(x), then H'(3) equals

• 4

• 1/4

• - 1/4

• -4

Tags

CCSS.HSF-BF.B.4A

Find the derivative of the inverse

• 12
• 1/12
• 146
• 1/146

Tags

CCSS.HSF-BF.B.4A

Find the derivative:
y=4^x

• y′=4^x
• y′=(lnx)4^x
• y′=(ln4)4^x
• y′=(log4)4^x

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Find the derivative f(x) = x²/e^x

• f'(x) = (x²e^x - 2xe^x) / (e^x)²
• f'(x) = (2xe^x + x²e^x) / (e^x)²
• f'(x) = (2xe^x - x²e^x) / (e^x)²
• f'(x) = x²e^x + 2xe^x

Tags

CCSS.HSF.IF.C.8

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