Maths A level stuff

Chain rule

dy/dx = dy/du x du/dx

Product rule

if y=uv then

dy/dx = v(du/dx) + u(dv/dx)

Quotient rule

if y=u/v

dy/dx = (v(du/dx) - u(dv/dx))/v^2

Differentiate y = e^x

dy/dx = e^x

Differentiate y = lnx

dy/dx = 1/x

Differentiate y = tanx

dy/dx = sec^2x

Differentiate y = cotx

dy/dx = -cosec^2x

Differentiate y = secx

dy/dx = tanxsecx

Differentiate y = cosecx

dy/dx = -cotxcosecx

Differentiate y = sinx

dy/dx = cosx

Differentiate y = cosx

dy/dx = -sinx

Small angle approximation of sinx

x

Small angle approximation of cosx

1-x^2/2

identity linking cos and sin

cos^2x + sin^2x = 1

Identity linking tan and sec

1 + tan^2x = sec^2x

Identity linking cot and cosec

1 + cot^2x = cosec^2x

sin addition identities

cos addition identities

tan addition identities

sin double angle formula

sin2A = 2sinAcosA

cos double angle formulae

cos2A = cos^A - sin^A

cos2A = 2cos^A - 1

cos2A = 1 - 2sin^A

tan double angle formula

tan2A = 2tanA/(1 - tan^2A)

Binomial: (1+ax)^n

1 + ax + n(n-1)(ax)^2/2! + n(n-1)(n-2)(ax)^3/3!

Power reduction formula: cos

cos^2A = (1 + cos2A)/2

Power reduction formula: sin

sin^2A = (1-cos2A)/2

Power reduction formula: tan