Derivative Review

Find the derivative of  f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴
• f '(x) = 6x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁶(x⁶ + 4)⁴

• A

• B

• C

• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.2

Find y' for y=e^5x+1

• 5e^5x+1

• e^5x

• 5e^5x

• 1

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)

• 
• 
• 
• 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

Find the derivative of the given equation
f(x) = 1/x²

• 1/2x
• -2x
• 2x
• -2x^-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

Find the derivative of f(x) = x²sinx.

Hint: Product Rule

• f'(x) = 2xsinx - x²cosx

• f'(x) = 2xsinx + x²sinx

• f'(x) = 2xsinx + x²cosx

• f'(x) = 2xcosx

Find the derivative:
y=4e^x²

• y'=8xe^x
• y'=8xe^x²
• y'=8xe^2x
• y'=8xe^4x²

Find the derivative of  $y=\ln3x$  

•  $\frac{1}{x}$  

•  $\frac{1}{3x}$  

•  $\ln3\ +\ \ln x$  

•  $\frac{1}{\ln3x}$