Intro to Chain Rule

Find the inside function.

 $y=\ln\left(3x-4\right)$  

•  $3x-4$  

•  $3x$  

•  $\ln\left(x\right)$  

•  $-1$  

Find the outside function.

 $y=\sqrt{3x^4+1}$  

•  $3x^4$  

•  $3x^4+1$  

•  $\sqrt{x}$  

•  $\sqrt{3x}$  

Find the inside function.

 $\sin\left(2x\right)$  

• sin(x)

• x

• 2x

• sin

Find the derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³+8x
• 6x⁵ - 16x³+8x
• x⁶-4x⁴+4x²
• 6x⁵ - 16x^3-8x

Tags

CCSS.HSA.APR.A.1

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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

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 the outside function.

 $y=3\left(5x-2\right)^4$  

•  $3x^4$  

•  $3\left(5x\right)$  

•  $-2$  

•  $5x-2$  

• A

• B

• C

• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.2

find y' for y= (2x+1)¹⁰

• 10(2x+1)⁹

• 20(2x-1)⁹

• 20(2x+1)¹⁰

• 20(2x+1)⁹

Tags

CCSS.HSA.APR.C.5

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2