Maths Formulae Flashcards
Quadratic Formula
b^2 -4ac
Area of a triangle
0.5ab sinC
sin2x
2sinxcosx
cos2x (both)
cos^2 x - sin^2 x
cos2x (cosx)
2cos^2 x -1
cos2x (sinx)
1- 2sin^2 x
tan2x
(2tanx)/(1-tan^2 x)
Arclength of a sector
rθ
Area of a sector
0.5r^2 θ
Arithmetic Single
a+(n-1)d
Geometric Single
ar^(n-1)
Derivative of x^n
nx^(n-1)
Derivative of e^nx
ne^(nx)
Derivative of ln(x)
1/x
Derivative of a^x
a^(x) lna
Derivative of sinx
cosx
Derivative of cosx
-sinx
Diferrentiation Product Rule uv
vu’ + uv’
Differentiation Quotient Rule u/v
(vu’ - uv’)/v^2
Integral of x^n
(x^n+1)/(n+1) +c
Integral of e^nx
(1/n)e^(nx) +c
Integral of sinx
-cosx +c
Integral of cosx
sinx +c
Integral of a^x
(a^x)/(lna) +c
Connected Particles dy/dx =
(dy/dT) / (dT/dx)
Probability P(B/A)
P(AnB)/P(A)