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Solution assignment 14 Chain rule

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Assignment 14

Differentiate:

y=\sin(4x^2+3x)

Solution

Applying the informal chain rule yields  (the 'quote' means: the derivative of):

y'=\cos(4x^2+3x)\cdot(4x^2+3x)'=(8x+3)\cos(4x^2+3x)

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