Solution assignment 15 Chain rule

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Assignment 15

Differentiate:

y=\sin^2(x)+\cos^2(x)

Solution

We can differentiate this function using the chain rule, but it can be done faster. From trigonometry we know the following formula:

\sin^2(x)+\cos^2(x)=1

and thus:

[\sin^2(x)+\cos^2(x)]'=0

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