IGCSE further pure maths: formula to learn
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Differentiation: cos ax
-asin ax
log(a)b =
1/ log(b) a
log(a) 1/x =
= -log(a) x
Log (a) 1
= 0
cos^2 + sin^2
= 1
log(a) a =
= 1
Geometric series nth term
= ar^(n-1)
ab
= c/a
log (a) x ^k =
= klog (a) x
Arithmetic series nth term =
= l = a+(n-1)d
log(a) x/y =
= log (a) x - log(a) y
log(a), xy =
= log(a) x + log(a) y
a + B
=-b/a
log(a) 1
=0
The gradient of the line joining two points (x1, y1) and (x2, y2)
Y2-y1/x2-x1
Differentiation: sin ax
acos ax
distance d between two points
d^2 = (x1-x2)^2 + (y1 - y2)^2
Differentiation: f(g(x))
f'(g(x))g'(x)
Differentiation: f(x)g(x)
f'(x)g(x)+f(x)g'(x)
Differentiation: Function x^n
nx^(n-1)
Radian measure: length of arc
rθ
Quadratic with roots alpha and beta
x^2 - (a+b)x + ab = 0
