How would I solve these problems using a short cut formula, simplify results, collecting like terms if possible. I am totally lost with derivative, quotient and product rule.

f(x) =-8

g(x)=4x^-5+20x^-1

k(x)=15x 2/3

r(x)=16x^7-8x^5+4x^3-2x+1

f(x) = (√x+1)(Vx-1)