Question

find the derivative of this equation & pls explain it​

Answer 1

derivative of cosecx= -cosecx . cotx

derivative of cotx = - cosec^2(x)

so answer will be= -cosecx( cotx + cosecx)

Answer 2

Hie!!

d/dx ( Cosec x + Cot x )

= - Cosec x Cot x + (- Cosec² x )

= - Cosec x { Cot x + Cosec x }

= -1/Sin x { Cos x / Sin x + 1/Sin x }

= -1/Sin x { Cos x / Sin x }

= { - Cos x } / Sin² x

Note:-

Differentiation of Cosec x is - Cosec x × Cot x

And

Differentiation of Cot x is - Cosec² x

Cosec x = 1/ Sin x

And

Cot x = Cos x / Sin x