Question

Производная f^(n) (x) функции f(X)=3^x равна...

Answer 1

$f(x) = 3^x$

$f'(x) = \ln(3)\,3^x\\f''(x) = \ln^2(3)\,3^x\\\cdots\\f^{(n)}(x) = \ln^n(3)\,3^x$