\[\text{Найти}\ \ f'(x),\ \text{если}\ \ f(x) =\sqrt[8]{x}.\] \[f'(x)={1\over{8\sqrt[8]{x^7}}}\] \[f'(x)={1\over{8\sqrt[7]{x^8}}}\] \[f'(x)=-{1\over{8\sqrt[8]{x^7}}}\] \[f'(x) = 8\sqrt[7]{x}\]
Задание

\[\text{Найти}\ \ f'(x),\ \text{если}\ \ f(x) =\sqrt[8]{x}.\]

  • \[f'(x)={1\over{8\sqrt[8]{x^7}}}\]

  • \[f'(x)={1\over{8\sqrt[7]{x^8}}}\]

  • \[f'(x)=-{1\over{8\sqrt[8]{x^7}}}\]

  • \[f'(x) = 8\sqrt[7]{x}\]