Question

Differentiate W.r.t x log(cos5x)

Answer 1

-5sin5x/cos5x =-5tan5x is your answer

Hope it helps you.

Dear!

Answer 2

y= log (cos 5x)
on diff. both side w.r.t x
dy/dx= d/dx(log(cos5x))
=1/cos5x {d/dx(cos 5x)}. (d/dx logx=1/x)
=1/cos5x{(-sin5x).d/dx(5x)}. (d/dxcosx=
-sinx)
=1/cos5x{(-sin5x).5}. (d/dx 5x=5)
=1/cox5x(-5sin5x).
= -5sin5x/cos5x
dy/dx = -5tan 5x. (tanx=sinx/cosx)


hope this help u:)