Differentiate `(ax + b)/(cx + d)` w.r.t.x

Differentiate sin(ax+b)/(cos(cx+d)) w.r.t.x

Differentiate (sec x + 1)/(sec x - 1) w.r.t.x

Using product rule differentiate (2x + 3)(5x^2 - 7x + 1) w.r.t. x

Differentiate x + a w.r.t.x

Differentiate (x+sec x)(x-tan x)

Differentiate cos(x^3)sin^2(x^5) w.r.t.x

Given that d/(dx) (c_1u_1 +- c_2u_2 +- .........+- c_nu_n) = c_1d/(dx)(u_1) +- c_2d/(dx)(u_2) +- ....... +- c_nd/(dx)(u_n) and d/(dx) (c) = 0 if c,c_1,c_2,...........,c_n are constants and u_1, u_2,.....,u_n are functions of x. After expanding the square, differentiate (sqrtx + 1/sqrtx)^2 w.r.t. x

Differentiate (logx)^(cosx) w.r.t.x

Differentiate 2/(x+1)-x^2/(3x-1)