Hi, I'm having a bit of trouble with my homework in some parts:

1)

Find y' if:

x^y = y^x

I have no idea on how to even start this.

As for the other:

2)

Use logarithmic differentiation:

sqrt(x)*(e^(x^2))*((x^2)+1)^10

My work:

log both sides:

log y = log(sqrt(x)*(e^(x^2))*((x^2)+1)^10

1/y * dy/dx = 1/2 * ln x + ln e^(x^2) + 10ln((x^2)+1)

Then I am confused..

Thank-you very much!