Hoping someone could help me.
In what points of the same X coordinate ( different from 0 ) will the tangents to the curves be parallel?
$ y = x^3 $ and $ y = x^2$
I know two lines are parallel if their slopes are equal. Also I know that a curve slope is it's derrivative so basically: $m1=3x^2$ and $m2=2x$. Should I just simply set these equal to each other and find out my X is $\frac{2}{3}$ ?