Question

Дана функция f(x)=3^x sinx.Найдите f'(x);f'(0) HELP

Answer 1

f´(x) = 3ˇx.ln3.sinx + 3ˇx.cos x=ln3 . 3ˇx (sin x + cos x)
fˇ(0) = ln3.3ˇ0 (sin 0+ cos 0)=
=ln3. 1.(0+1)=ln3