Using logarithmic differentiation

Question

Find the derivative:

f(x)= ((x+2)^2(x^2+3)^5)/(x√x^2+4)

Answer 1

Answer 2

Pass to natural logarithms on both side of the equation, then differentiate:

f'(x)/f(x) = a sum of logarithm terms which will be easy to differentiate

the f'(x) will be equal to that sum multiplied by f(x)...which will be pretty messy!!!