Question

Differention of
$sin^{2} x$
​

Answer 1

$y = { \sin}^{2} x$

on differentiation w.r.t.x we get ,

$\frac{dy}{dx} = 2 \sin(x) \times \cos(x) \: \: \: \\ \sin(2x)$

Answer 2

Answer:

f(x) = (sin x)2 can be written as f(u) = u2 where u = sin x. The Chain Rule states that to differentiate a composite function we differentiate the outer function and multiply by the derivative of the inner function. We can use the rules cos x = sin ( /2– x) and sin x = cos( /2 – x) to find the derivative of cos x.