Question

Hlo
how are u
solve this question.
find derivative of x²cotx

Answer 1

Let y = x^2 cot x

Applying the product rule since the function y contains two other functions of x together.

Thus,
dy/dx = x^2 * d(cot x)/dx + cot x *d(x^2)/dx
= x^2 * -cosec^2 x + cot x * 2x
Therefore,
dy/dx = cot x*2x - cosec^2 x * x^2

Answer 2

Answer:

Let y = x^2 cot x

Applying the product rule since the function y contains two other functions of x together.

Thus,

dy/dx = x^2 * d(cot x)/dx + cot x *d(x^2)/dx

= x^2 * -cosec^2 x + cot x * 2x

Therefore,

dy/dx = cot x*2x - cosec^2 x * x^2