5.a Chain Rule

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

Tags

CCSS.HSF-IF.C.8B

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)

 $f\left(x\right)\ =\ \ln\left(2x^6\right)$  

•  $\frac{6}{x}$  

•  $\frac{x}{6}$  

• 6x

•  $\frac{6x}{5}$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

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• 
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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\frac{dr}{dt}\ if\ r=\left(\sec\theta+\tan\theta\right)^{-3}$  Find

•  $\frac{-3\sec\theta}{\left(\sec\theta+\tan\theta\right)^3}$  

•  $-3\left(\sec\theta+\tan\theta\right)^{-4}\left(\tan^2\theta+\sec\theta\tan\theta\right)$  

•  $-3\left(\sec\theta+\tan\theta\right)^{-4}$  

•  $-3\left(\sec\theta+\tan\theta+\sec^2\theta\right)^{-4}$  

Tags

CCSS.HSA.SSE.B.3

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)
• f'(x) = 20x³ sin(5x⁴)
• f'(x) = -sin(20x³)
• f'(x) = -20x³ sin(5x⁴)

 $f\left(x\right)\ =\ \log_6\left(x^3-5x\right)$  

•  $\frac{2x^3-5}{\ln\left(6\right)\cdot\left(x^3-5x\right)}$  

•  $\frac{3x^2-5}{\ln\left(6\right)\cdot\left(3x^2-5\right)}$  

•  $\frac{2x^3-5}{\ln\left(6\right)\cdot\left(3x^2-5\right)}$  

•  $\frac{3x^2-5}{\ln\left(6\right)\cdot\left(x^3-5x\right)}$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.A.1