Question

Differentiate the following w.r.t.x.
codec x cot x

Answer 1

dy/dx= - cosecx*cotx*cotx+ cosecx (- cosec^2x)
= -cosecx*cot^2x- cosec^3x
= -cosecx(cot^2x+cosec^2x)
= -cosecx( cosec^2x -1 +cosec^2x)
= -cosecx( 2cosec^2x -1)