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Solution assignment 25 Chain rule

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Assignment 25

Differentiate:

y=\sin(\cos(x))

Solution

A special function, but this does not matter as far as differentiation is concerned. We can apply the informal chain rule without problems:

y'=\cos(\cos(x))\cdot[\cos(x)]'=\cos(\cos(x))\cdot-\sin(x)=

=-\sin(x)\cos(\cos(x))

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