What are the derivatives of the following functions?

Question

1. x² · f(x)
2. 4^x · (f(x)+g(x))
3. f(x)/(g(x)+1)

Answer 1

1) x^2 * f'(x) + 2x * f(x)

2) 4^x ( f' + g') + 4(f+g) (4^x) =

4^x( f' + g' + 4f + 4g)

3)

(g+1) f' - f g'

-----------------------

(g+1)^2