Stationary Point

A stationary point on a curve is where the gradient is zero, so $\frac{dy}{dx}=0$ and the tangent is horizontal. These points include maximum points, minimum points, and points of inflection.

We locate them by solving $\frac{dy}{dx}=0$, then classify each using the second derivative.

You meet Stationary Point in the Differentiation chapter of SPM Additional Mathematics. Knowing the term precisely matters in the exam: questions often hinge on reading a keyword correctly, and because SPM marking is analytic, using the right definition in your working helps secure method marks.

Our teachers make sure a student can not only recite what Stationary Point means but use it fluently in a full solution.

Because the SPM Add Math paper is bilingual (BM/EN), it helps to know this term in each language: Stationary Point (EN) · Titik Pegun (BM) · 驻点 (中文)

Other key terms from the Differentiation chapter you may want to check:

• Limit
• First Derivative
• Differentiation from First Principles
• Gradient Function
• Chain Rule
• Product Rule