Question

double differentiate sinx. cosx ​

Answer 1

Answer:

The derivative of cos(x) cos ( x ) with respect to x x is −sin(x) - sin ( x ) . Find the second derivative. By the Sum Rule, the derivative of cos(x)−sin(x) cos ( x ) - sin ( x ) with respect to x x is ddx[cos(x)]+ddx[−sin(x)] d d x [ cos ( x ) ] + d d x [ - sin ( x ) ] .

Answer 2

Answer:

-4sinx.cosx

Explanation:

let y= sinx. cosx

differentiate both sides w.r.t x

using product rule we get.

dy/dx=cos²x-sin²x

now again differentiate both sides w.r.t. x

using product rule and chain rule we get,

d²y/dx²= -4sinx.cosx