Question

F(x)=3^x×sinx f'(x)-? f(0)-?

Answer 1

$f(x) = 3 ^{x}*Sinx\\\\f'(x) = (3 ^{x})'*Sinx+3 ^{x}*(Sinx)' = 3 ^{x} ln3*Sinx+3 ^{x}*Cosx=$$3 ^{x}(ln3Sinx+Cosx)$
$f'(0) = 3 ^{o} (ln3Sin0 + Cos0) =1*(ln3*0+1) =1$