Question

diferentation Tan 4x​

Answer 1

Let y = tan4x

And, also let 4x = u

=> dy/du = d{tan(u)}/du = sec^2(u) = sec^2(4x)......(i)

and,

=> du/dx = d(4x)/dx = 4 ..........................(ii)

Multiply (i) and (ii),

dy/du × du/dx = sec^2(4x) × 4

=> dy/dx = 4sec^2(4x)

=> differential of tan(4x) = 4.sec^2(4x)