How do you differentiate $f (x) = 4 {sin}^{2} x + 5 {cos}^{2} x$ $f(x)=4sin^2x+5cos^2x$ ?

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Answer 1 · 2017-02-16T17:05:58

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This needs to be differentiated using the chain rule for polynomial functions:

$f(x)^n=nf(x)^(n-1)f'(x)$

$f'(x)=8sinxcosx-10sinxcosx$

How do you differentiate f(x)=4sin^2x+5cos^2xf(x)=4sin2x+5cos2xf(x)=4sin^2x+5cos^2x?