I am asked to prove the following by induction...

y=(e^x)sinx => d(^n)y/dx = [2^(n/2)] (e^x) [sin(x+npi/4)]

unfortunately I m trying to establish that this is true for n=1 and I am stuck already.

I get dy/dx = (e^x)(sinx-cosx) and not much passed that...

I have tried to square both sides and it gets me as far as...

dy/dx = [2(1/2)](e^x)[1/2 - sinxcosx]

....?