Mathematics

You're looking for critical points — places where the curve stops going up or down and has a horizontal tangent. The slope of any curve is given by its derivative, so set $\frac{dy}{dx} = 0$ and solve for $x$. Once you have the derivative, you'll factor it carefully: look for a common factor first, then see what remains. This is a straightforward algebra problem hiding inside calculus.

You're looking for critical points — places where the curve stops going up or down and has a horizontal tangent. The slope of any curve is given by its derivative, so set $\frac{dy}{dx} = 0$ and solve for $x$. Once you have the derivative, you'll factor it carefully: look for a common factor first, then see what remains. This is a straightforward algebra problem hiding inside calculus.