F(x)=2^x Найти f’(x)

Question

F(x)=2^x
Найти f’(x)

Answer 1

(aˣ)' = aˣ * ln(a)

F(x) = 2ˣ
F'(x) = f(x) = (2ˣ)' = 2ˣ * ln(2)
f'(x) = (ln(2) * 2ˣ)' = ln(2) * 2ˣ = ln(2) = 2ˣ * ln²(2)