Найдите производную f(x)=6^xcosx

Question

Найдите производную
f(x)=6^xcosx

Answer 1

F(x) = 6ˣ * Cosx
f'(x) = (6ˣ)' * Cosx + 6ˣ * (Cosx)' = 6ˣ * ln6 * Cosx - 6ˣ * Sinx =
= 6ˣ(ln6 * Cosx - Sinx)