A-Level Maths OCR B (MEI) (H640)

#9.13 Quotient rule

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Be able to differentiate the quotient of two functions.

The quotient rule: y=udvy = \dfrac{u}{dv},

dydx=vdudx−udvdxv2\dfrac{dy}{dx} = \dfrac{v\dfrac{du}{dx} - u\dfrac{dv}{dx}} {v^2}

[f(x)g(x)]′=f′(x)g(x)−f(x)g′(x)(g(x))2\Bigg[\dfrac{f(x)}{g(x)}\Bigg]' = \dfrac{f'(x)g(x) - f(x)g'(x)}{\big(g(x)\big)^2}

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