Chain rule

Find  $\frac{dy}{dx}$  given that

 $y=u^5\ \ and\ \ \ u=x^6+4$  

•  ^{$\frac{dy}{dx}=5x^5(x^4+4)^4$}  

•  $\frac{dy}{dx}=6x^5(x^6+4)^4$ 

•  ^{$\frac{dy}{dx}=30x^5(x^6+4)^4$} 

•  $\frac{dy}{dx}=30x^6(x^6+4)^4$  

Given $y=u^2\ \ and\ \ u=x^3-2x$  . Find  $\frac{dy}{dx}$  

• 6x⁵ - 12x³+8x

• 6x⁵ - 16x³+8x

• x⁶-4x⁴+4x²

• 6x⁵ - 16x^3-8x

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

 $\frac{dy}{dx}\ if\ y=\left(2x^2+4\right)^3$  Find

•  $\left(12x+4\right)\left(2x^2+4\right)^2$  

•  $3\left(2x^2+4\right)^2$  

•  $12x\left(2x^2+4\right)^2$  

•  $12\left(2x^2+4\right)^2$  

Tags

CCSS.HSA.APR.A.1

Find $\frac{dy}{dx}$  if  $y=u^3\ \ \ and\ \ u=3x-2x^2$  

• dy/dx = (3 - 4x)⋅3(3x - 2x²)²

• dy/dx = 3(3x - 2x²)²

• dy/dx = 3(3 - 4x)²

• dy/dx = (3 - 4x)(9x - 18x²)²