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

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

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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

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Tags

CCSS.HSA.REI.A.2

 $\frac{dy}{dt}\ if\ y=\cos\sqrt{10t+12}$  Find

•  $\frac{-5}{\sqrt{10t+12}}\sin\sqrt{10t+12}$  

•  $\frac{-1}{2\sqrt{10t+12}}\sin\sqrt{10t+12}$  

•  $-\sin\sqrt{10t+12}$  

•  $-\sin\left(\frac{5}{\sqrt{10t+12}}\right)$  

 $\frac{dy}{dx}if\ y=\ln2x$  Find

•  $-\frac{1}{x}$  

•  $\frac{1}{2x}$  

•  $\frac{1}{x}$  

•  $\frac{-1}{2x}$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

 $\frac{dy}{dx}\ if\ y=e^{\left(7-9x\right)}$  Find

•  $-9e^{\left(7-9x\right)}$  

•  $e^{-9}$  

•  $-9\ln\left(7-9x\right)$  

•  $7e^{\left(7-9x\right)}$  

Tags

CCSS.HSF-IF.C.8B

 $\frac{d}{dx}\sqrt{x^3-1}$  

•  $\sqrt{3x^2}$  

•  $\frac{1}{2\sqrt{x^3-1}}$  

•  $\frac{3x^2}{2\sqrt{x^3-1}}$  

• What ever Isaac Newton says

Differentiate (sin x)²

• (cos x)²

• 2(cos x)

• 2(sin x)(cos x)

• -2(sin x)(cos x)

• What ever your table partner says