Question

calcule f ' da função a seguir f(x)= x^2.ln(2x)

Answer 1

f'(x) = u'v+v'u

u = x²         v = ln(2x)
u' = 2x       v' = 1/2x

f'(x) = 2x ln (2x) + 1/2x .x²
      = 2x ln(2x) + 1/2 x
      = $\frac{1}{2} x+2x ln(2x)$