This is a draft cheat sheet. It is a work in progress and is not finished yet.
Differentation
f(x) |
f'(x) |
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 |
sec2x |
1 + tan2 x |
cosec2 x |
1 + cot2 x |
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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 = |
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