Question

differentiat sinx ×cosx​

Answer 1

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. Find the derivative of f(x) = sin2x2.

Answer 2

d/DX (UV)= U d/dx(V) + V d/DX(U)

d/DX (sin x cos x) =

-sin x sin x + cos x cos x

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