Differentiation & Stationary Points

Having some trouble with the following two questions, I have an answer but it doesn't make sense...

A function f is defined by the formula f (x) = (x-1)^2 (x+2)

(a) Find the coordinates of the points where the curve with the equation y = f(x) crosses the x - and y-axes.

(b) Find the stationary points of this curve y = f(x).

For the derivative of (a) I got 2x^2 - 3 but I didn't know how to get the points from that... Help is much appreciated!

Re: Differentiation & Stationary Points

x-intercepts are where

the y-intercept is

stationary points are where

also, check your derivative. should be ...

Re: Differentiation & Stationary Points

Re: Differentiation & Stationary Points

Thank you!

It isn't that I don't know how to find y/x intercepts, it's that my derivative answer didn't look right (as you said, it wasn't) which threw me off.