Question

Вычислите F'(8), если f(x)=x^2/3+5
Ответ должен быть 1/3

Answer 1

$f(x)= x^(2/3) +5$

$f'(x) = (2/3)x^(-1/3)$

$f'(8) = (2/3)* 8^(-1/3) = (2/3)*(1/2) = 1/3$