CAIE IGCSE Additional Math 14.4 differentiate products and quotients

Use this product-and-quotient page to choose the correct rule, differentiate each factor and simplify dy/dx or exact values.

Exam points

[Maximum number: 2]

The equation of a curve is $y=kxe^{-2x}$ , where k is a constant.

Find $\frac{dy}{dx}$ .

$\frac{d}{dx}(e^{-2x})=-2e^{-2x}$
B1
$\frac{dy}{dx}=ke^{-2x}-2kxe^{-2x}$
B1
FT for product rule $k e^{-2x}+kx\cdot\frac{d}{dx}(e^{-2x})$ .

All question bank results loaded