# Math Help - Differentiation of log function

1. ## Differentiation of log function

Find an equation of the tangent line to the curve at the
given point.

y=ln(xe^(x²)) P=(1,1)

I know how to plug in the numbers into the Point-Slope formula once I find the derivative of the function, or slope, I'm just not sure how to derive this function.

2. I also know I have to use the formula:
ln(a*b) = ln a + ln b

and then take the derivative to get y' but I'm confused on how to do so..

3. $\displaystyle{f(x)=\ln\left(xe^{x^2}\right) = \ln(x)+\ln\left(e^{x^2}\right) = \ln(x)+x^2}$.

Can you go from here?

4. Yes! Thank you very much!