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C3 Cheat Sheet (DRAFT) by [deleted]

Cheat Sheet for C3 mathmatics

This is a draft cheat sheet. It is a work in progress and is not finished yet.


sin x
cos x
cos x
- sin x
tan x
sec2 x
cosec x
- cosec x cot x
sec x
sec x tan x
cot x
- cosec2 x
ln x
1 / x

Trig Identitys

cosec x
1 / sin x
sec x
1 / cos x
cot x
1 / tan x
cos2x + sin2x
1 + tan2 x
cosec2 x
1 + cot2 x

Inverse a function

1. Replace f(x) with y
2. Rearrange for x
3. Replace x with f-1(x) and y with x
4. Swap the domain and range of the function

Differ­ent­itation rules

If y = f(u) and u = g(x)
dy/dx = dy/du x du/dx
If y = u(x)v(x)
dy/dx = u(dv/dx) + v(du/dx)
If y = u(x)/v(x)
dy/dx =