PLEASE SHOW ME THE STEPS.
57. Consider y = ln (sin2x)^3
a) Find dy/dx and d^2y / dx^2
b) Show that 3 (d^2y/ dx^2) + (dy/dx)^2 + 36 =0
Ans: a) dy/dx = 6cot 2x
d^2y /dx^2 = -12(csc 2x)^2
59. a) If u = (1-2x) / (1+2x), find du/dx.
b) Let y^2 = sec u. Express dy/dx in terms of u.
ans: a) - [4/ (1+2x)^2 ]
b) +/- (1/2) (1+u)^2 (tan u ) (sec u)^1/2