What is the derivative of $f (x) = {sin}^{2} (x) - {cos}^{2} (x)$ $f(x) = sin^2(x)-cos^2(x)$ ?

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Answer 1 · 2018-04-28T15:02:07

The answer $f'(x)=4*sin(x)*cos(x)$

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$f(x)=sin^2(x)-cos^2(x)$

$f'(x)=2*sin(x)*cos(x)-[2*cos(x)*-sin(x)]$

$f'(x)=2*sin(x)*cos(x)+2*sin(x)*cos(x)$

$f'(x)=4*sin(x)*cos(x)$

What is the derivative of f(x) = sin^2(x)-cos^2(x)f(x)=sin2(x)−cos2(x)f(x) = sin^2(x)-cos^2(x)?