Recent content by hannahang

Thank you so much for your help. I will try to figure out how to do it again with your hints. Hopefully, I can solve it as soon as possible. Thank you

Please show me how you would solve this problem so that I can compare with mine...Thxs so much...I need to finish this asap... Thxs so much for ur help

the second last step...that's the part I am not how I can simplyfy to get that polynomial Pk(x) I have tried many ways...but I can't seem to get the proving right... Could you please show me your workings so I can check with mine? Thxs

Hiya, Thxs for the prompt reply... I have done this d^(k+1)/dx^(K+1) (e^(x^2) = d/dx(d^k/dx^k (e^x^2) = (Pk (x). e^(x^2) Then I used product rule for this part which ended up with...

I have started the prove with n = 1, that part was okay, I managed to prove that it is true for n = 1. The part I am having trouble with is to prove n = k+1. For that part, I tried to use product rule to differentiate d/dx(d^k/dx^k(e^x2) I got 2^(k+1)x^(k+1) e^x2 + e^x2(k2^kx^k-1)...

Prove by induction that for all n≥ 1, dn/ dxn (e ^(x2) = Pn (x) e ^(x2) where Pn(x) is a polynomial in x of degree n with coefficient of x^n equal to 2^n I have problems trying to prove this question by mathematical induction. Please help...Really much appreciated