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**BooGTS** Having issue with e^x problems. example:

ye^x - xe^y = xy find (a) dy/dx and (b) d^2y/dx^2

I'd likely not have issue with the second derivitive if I could figure the first.

the xy is easy, just product rule. the other side, however, I'm not sure how to get dy/dx. Is it simply dy/dx ye^x - d/dx xe^y and then you can just use the product rule? If someone can work that out, I can figure out what you did.

also:

y=3e^(x^(2-1))*x^(x-1) find y'. I can even begin to describe where I get lost there.

and:

lim x->0 (e^-x-1)/(1-e^x)

I can do these with non e^x but these are the only ones that are throwing me off. Thanks for any help!