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Solution assignment 18 Chain rule

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Assignment 18

Differentiate:

y=\sin(5x^3+2x+1)

Solution

We apply the chain rule straightforward (the 'quote' means: the derivative of):

y'=\cos(5x^3+2x+1)\cdot[5x^3+2x+1]'=

=(15x^2+2)\cos(5x^3+2x+1)

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