Solution assignment 17 Chain rule

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Assignment 17

Differentiate:

y=(3x+1)^5\cos(x)

Solution

For this derivative we have to use both the product rule and the chain rule:

y'=5(3x+1)^4\cdot3\cos(x)+(3x+1)^5\cdot-\sin(x)=(3x+1)^4[15\cos(x)-(3x+1)\sin(x)]

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