Question

Find `dy/dx, if y = cos^-1 ( sin 5x)`

Answer 1

`y = cos^-1 ( sin 5x )`

`y = cos^-1 [ cos( π/2 - 5x )]`

∴ `y = π/2 - 5x`

Diff.w.r.t.x.
`dy/dx = 0 - 5 xx 1`

`dy/dx = - 5`