Find an equation for the line y=(x^2)lnx at (1,0)
The Attempt at a Solution
I took the first derivative of the equation and got y'=2xlnx +x
In other equations, it would be simple to find the slope, but at this point I am lost, is the slope 2? It doesn't appear to be in the form of y=mx+b.
So I've decided to use f'(1)=2(1)ln1 + 1 = 1 , this gives me the slope of the function at the point (1,f(1)) right?
If that's the case, then
y=m(x-x_1) + y_1
= 1(x-1) + 0
Just wanted to know if I am close or way off or maybe correct.