A different implicit differentiation

Alright, so I'm having some problems. I am supposed to find dy/dx in terms of x and y by implicit differentiation. I wasn't doing too bad until I hit two problems:

Problem 1) y^2 + ye^x + e^2x=3

Problem 2) e^y^2 - x^2 - y^2=0

For the first one, I am not certain how to handle the ones to the power of x and 2x when the first one is y to the power of two. I might be overthinking it though.

For the second one, I am not certain how to handle the e^y^2, so I am just confused with that one.

Any help I can get would be much appreciated!