Pure Mathematics 1

WMA11Unit 15 topics · 12 questions

Key formulae

The relationships this unit leans on most. Check your formulae or data booklet for which ones the exam gives you.

1.4Differentiation2 questions

b2−4ac

roots of $ax^2 + bx + c = 0$

$b^2 - 4ac$

the discriminant: $> 0$ two real roots, $= 0$ one repeated root, $< 0$ none

$x^2 + bx + c = \left(x + \tfrac{b}{2}\right)^2 - \tfrac{b^2}{4} + c$

completing the square: the turning point is at $x = -\tfrac{b}{2}$

$\int x^n\,dx = \dfrac{x^{n+1}}{n+1} + c$: for $n \neq -1$ ; don't forget $+c$

)

line through $(x_1, y_1)$ with gradient $m$

c

cos

A

cosine rule

2

θ

arc length and sector area, $\theta$ in radians