Question

qual primitiva de 1/2 e de (2/x+3/x²)

Answer 1

$f(x)=\displaystyle\frac{1}{2}(\frac{2}{x}+\frac{3}{x^2})=\\ f'(x)=\displaystyle\frac{1}{2}(2.x^{-1}+3.x^{-2})=\\ f'(x)=\displaystyle\frac{1}{2}(-2.x^{-2}-6.x^{-3})=\\ f'(x)=-x^{-2}-3.x^{-3}\\ f'(x)=\displaystyle\frac{-x-3}{x^3}$