CAIE IGCSE Additional Math 14.4 Differentiate Products and Quotients Questions

Practise differentiating products and quotients of functions, simplifying exact algebraic results across exponential, logarithmic, trigonometric and radical forms.

Exam points

Differentiate products and quotients of functions, simplifying the resulting derivative into an exact algebraic form.

[Maximum number: 2]

Given that $y=x \cos 2 x$ , find $\frac{\mathrm{d} y}{\mathrm{~d} x}$ .

$\cos2x+x(-2\sin2x)$ oe, isw, nfww
M1 for $\frac{d}{dx}(\cos2x)=-2\sin2x$ soi, or M1 FT for correct product-rule structure.
A1

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CAIE IGCSE Additional Math 14.4 Differentiate Products and Quotients Questions question 1