I have the following function to differentiate:
f(x) = x^\frac{4}{5} * (x-4)^2
My derivative is:
f'(x) = x^\frac{4}{5} * 2(x-4) + (x-4)^2 * (\frac{4}{5}) * x^\frac{-1}{5}
My calculator gives me:
f'(x) = \frac{2(x-4) * (7x-8)}{5x^\frac{1}{5}}
How does my expression simplify into...