Differentiation of log function

[b521]

Homework Statement

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

y = ln(xe^(x²)) P=(1, 1)

The Attempt at a Solution

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.

 

[Mark44]

Homework Statement

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

y = ln(xe^(x²)) P=(1, 1)

The Attempt at a Solution

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.

First, use the properties of logarithms; namely ln(a*b) = ln a + ln b. Then, take the derivative. Presumably you know how to differentiate y = ln u, where u is a function of x.

 

[b521]

Yes, thank you!