Chain Rule

The chain rule differentiates a composite function, one function inside another, by multiplying the derivatives of each layer: $\frac{dy}{dx}=\frac{dy}{du}\times\frac{du}{dx}$. For $y=(3x+1)^{5}$, we differentiate the outer power and then the inner bracket, combining the results.

You meet Chain Rule 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 Chain Rule 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: Chain Rule (EN) · Petua Rantai (BM) · 链式法则 (中文)

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

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