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AS 1 Pure Mathematics

Quick questions on Differentiation: first principles, the gradient function, tangents, normals and stationary points - CCEA A-Level Mathematics

3short 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 is q1?
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Differentiate y=3x4−2x+7y = 3x^4 - 2x + 7. [2 marks]
What is q2?
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Find the gradient of y=x2−5xy = x^2 - 5x at x=4x = 4. [2 marks]
What is q3?
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A curve has dydx=3x2−12\frac{dy}{dx} = 3x^2 - 12. Find the xx-coordinates of its stationary points. [2 marks]

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