# C1 - Formulae to learn

Flashcards by , created almost 6 years ago

## OCR Mathematics Core 1

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 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) $$\frac{d^2y}{dx^2} < 0$$