For some constants c and d, find the derivative of `(x-c)/(x-d)`.

For some constants a and b, find the derivative of (x-a)(x-b)

For some constants a and b, find the derivative of (x-a)/(x-b)

For some constants a and b, find the derivative of (ax^2+b)^2

Find the derivative of the following function (it is to be understood that a, b, c, d,p, q, r and s are fixed non-zero constants and m and n are integers): (ax+b)/(cx+d)

Find the derivative of (x^n-a^n)/(x-a) for some constant a.

Find the derivative of the following function (it is to be understood that a, b, c, d,p, q, r and s are fixed non-zero constants and m and n are integers): (x + secx) (x-tan x)

Find the derivative of the following function (it is to be understood that a, b, c, d,p, q, r and s are fixed non-zero constants and m and n are integers): (sec x-1)/(sec x +1)