Question

Solve the derivative equation: Prove d/dx(cscx) = -csc(x) cot(x)

Answer 1

Rewrite csc x as (sin x)^-1 and apply the chain rule.\[\frac{ d }{ dx }(\sin x)^{-1}=(-1)(\sin x)^{-2}(\cos x)\]which converts directly to your answer.

Answer 2

answer = 2((cosx)^2)(tanx)^-2

Answer 3

Cosec x= 1 / sin x , then apply quotient rule