Differentiation Review (chain rule/trig)

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

Tags

CCSS.HSA.SSE.A.2

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.2

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.B.3

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Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

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Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.A.2

CCSS.HSA.SSE.A.1

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

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

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

•  $-\sin\sqrt{10t+12}$  

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

 $\frac{d}{dx}\sqrt{x^3-1}$  

•  $\sqrt{3x^2}$  

•  $\frac{1}{2\sqrt{x^3-1}}$  

•  $\frac{3x^2}{2\sqrt{x^3-1}}$  

• 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

 $\frac{\text{d}}{\text{d}x}\tan^2\left(3x\right)$  

•  $6\tan\left(3x\right)\sec^2\left(x\right)$  

•  $6\tan\left(3x\right)\sec^2\left(3x\right)$  

•  $2\sec^2\left(3x\right)$  
  

•  $6\sec^2\left(3x\right)$  

 $find\ g'\left(x\right)\ for\ g\left(x\right)=\left(h\left(x\right)\right)^3$  

•  $g'\left(x\right)=3\left(h'\left(x\right)\right)^2$  

•  $g'\left(x\right)=3h'\left(x\right)^2$  

•  $g'\left(x\right)=3\left(h\left(x\right)\right)^2\cdot h'\left(x\right)$  

•  $g'\left(x\right)=3h\left(x\right)^2\cdot h'\left(x\right)$