Need some derivatives guidance

Finding the derivatives of

f(x)=e^(1-x^2)

f(x)=ln(x^3-1)

f(x)=3xe^2x

Anything will be greatly appreciated, I am just trying to figure out exactly how to solve these, I understand using the different rules..but, I am still having trouble seeing how you get this derived. Thnx.

Solution to the first one

f(x)=e^(1-x^2)

I believe the correct answer for this is -2e^-2x

I got that from the base * the derivative of the exponent. Am I completely off here? I am still being troubled by the others but, I believe I got this one.