Product Rule

The product rule differentiates the product of two functions: if $y=uv$, then $\frac{dy}{dx}=u\frac{dv}{dx}+v\frac{du}{dx}$. Each function is differentiated in turn while the other is left unchanged, and the two results are added.

It is needed whenever two expressions in $x$ are multiplied.

You meet Product 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 Product 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: Product Rule (EN) · Petua Hasil Darab (BM) · 乘积法则 (中文)

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

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