Quotient Rule (HSC SSCE Mathematics Advanced): Quizzes

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Quotient Rule
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What is the quotient rule used for?

Finding derivatives of quotients

For y=uvy = \frac{u}{v}, what is dydx\frac{dy}{dx}?

vdudx−udvdxv2\frac{v\frac{du}{dx} - u\frac{dv}{dx}}{v^2}

In the quotient rule, what is the correct order of subtraction?

vdudxv\frac{du}{dx} minus udvdxu\frac{dv}{dx}

What does 'Low' refer to in the mnemonic 'Low dee high, minus high dee low'?

The denominator vv

In y=uvy = \frac{u}{v}, what is vv?

The function in the denominator

What happens to the denominator in the quotient rule result?

It is squared

What is dydx\frac{dy}{dx} for y=x2+6x+5xy = \frac{x^2 + 6x + 5}{x}?

x2−5x2\frac{x^2 - 5}{x^2}

For y=x2−2x+2y = \frac{x^2 - 2}{x + 2} at x=2x = 2, what is the gradient?

78\frac{7}{8}

What is the tangent equation for y=x2−2x+2y = \frac{x^2 - 2}{x + 2} at x=2x = 2?

y=78x−54y = \frac{7}{8}x - \frac{5}{4}

When is the quotient rule most valuable?

When numerator and denominator can't be simplified

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