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Calculus

Quick questions on Applications of differentiation explained: H2 Mathematics Calculus

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are stationary points?
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A stationary point occurs where dydx=0\dfrac{dy}{dx} = 0: the tangent is horizontal. Solving this equation gives the xx-coordinates; substitute back for the yy-coordinates.
What is q1?
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Find the stationary point of y=x26x+5y = x^2 - 6x + 5 and state its nature. [3 marks]
What is q2?
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State the condition for a function to be increasing. [1 mark]
What is q3?
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What two conditions identify a point of inflexion? [2 marks]

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