Question

Y= cot²x ( Differentiate)​

Answer 1

EXPLANATION.

y = cot²x.

As we know that,

Differentiate w.r.t  x, we get.

dy/dx = d(cot²x)/dx.

dy/dx = 2cot(x).d(cot x)/dx.

dy/dx = -2cot(x)cosec²(x).

                                                                                                                           

MORE INFORMATION.

(1) = d(sin x)/dx = cos(x).

(2) = d(cos x)/dx = -sin(x).

(3) = d(tan x)/dx = sec²x.

(4) = d(cot x)/dx = -cosec²x.

(5) = d(sec x)/dx = sec x tan x.

(6) = d(cosec x)/dx = - cosec x cot x.