C1 - Formulae to learn

Tech Wilkinson
Flashcards by , created almost 6 years ago

OCR Mathematics Core 1

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Tech Wilkinson
Created by Tech Wilkinson almost 6 years ago
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Question Answer
discriminant \(b^2-4ac\)
equation of straight line through \((x_1,y_1)\) with gradient \(m\) \(y-y_1 = m(x-x_1)\)
perpendicular straight lines with gradients \(m_1\) and \(m_2\) \(m_1 m_2 = -1\)
equation of circle with centre \((a,b)\) and radius \(r\) \((x-a)^2+(y-b)^2=r^2\)
differentiation of \(y=x^n\) \(\frac{dy}{dx}=nx^{n-1}\)
differentiation of \(y=f(x)+g(x)\) \(\frac{dy}{dx}=f'(x)+g'(x)\)
Min / Max / Point of inflection (2nd derivative) \(\frac{d^2y}{dx^2} = 0\)
Minimum point (2nd derivative) \(\frac{d^2y}{dx^2} > 0\)
Maximum point (2nd derivative) \(\frac{d^2y}{dx^2} < 0\)