Oblicz pochodną funkcji:
f(x)=\sqrt[5]x^3
f(x)=x^{\frac{5}{5}}
f'(x)=\frac{3}{5}*x^{\frac{3}{5}-1}=\frac{3}{5}*x^{-\frac{2}{5}}=\frac{3}{5}*(\frac{1}{x})^{\frac{2}{5}}=
=\frac{3}{5}*\frac{1}{x^{\frac{2}{5}}}=\frac{3}{5}*\frac{1}{\sqrt[5]x^2}=\frac{3}{5\sqrt[5]x^2}
Dziedzina
x>0
D=R_+