Question

Differentiate _
a) sin x + cos^2 x​

Answer 1

Answer:

$\cos x - 2\cos(x) \sin(x)\\</p><p>\mathrm{Or }\: \cos x -\sin (2x)$

Step-by-step explanation:

Use chain rule.

d/dx{sin x +cos²x}= cos x +2cos(x)× [d/dx{cosx}

=cos x+2cos(x){-sin(x)}

=cos x -2sinxcosx

=cos x -sin(2x)