1.
cos (u-v)=: cos u cos v + sin u sin v
2.
cos (u+v)=: cos u cos v - sin u sin v
3.
cos 2u=: cos^2 u -sin^2 u
4.
cot^2(x) + 1=: csc^2(x)
5.
d/dx [] =
d/dx [tan u] =: (sec^2 u)u'
6.
d/dx [|u|] =: (u/|u|)u'
7.
d/dx [a^u] =: (ln a)(a^u)u'
8.
d/dx [arccos u]=: -u'/root(1-u^2)
9.
d/dx [arccot u]=: -u'/1+u^2
10.
d/dx [arccsc u]=: -u'/|u|root(u^2-1)
11.
d/dx [arcsec u]=: u'/|u|root(u^2-1)
12.
d/dx [arcsin u]=: u'/root(1-u^2)
13.
d/dx [arctan u]=: u'/1+u^2
14.
d/dx [c] =: 0
15.
d/dx [cos u] =: -(sin u)u'
16.
d/dx [cot u] =: -(csc^2 u)u'
17.
d/dx [csc u] =: -(csc u cot u)u'
18.
d/dx [cu] =: cu'
19.
d/dx [e^u] =: (e^u)u'
20.
d/dx [int (x to a) f(t)dt]= f(x): Fun de Calc Part II
21.
d/dx [ln u] =: u'/u
22.
d/dx [loga u] =: u'/(ln a)u
23.
d/dx [sec u] =: (sec u tan u)u'
24.
d/dx [sin u] =: (cos u)u'
25.
d/dx [u +- v] =: u'+-v'
26.
d/dx [u/v] =: vu'-uv'/v²
27.
d/dx [u^n] =: nu^(n-1)u'
28.
d/dx [uv] =: uv'+vu'
29.
d/dx [x] =: 1
30.
f(b) - f(a) / b-a: Mean Value Theorem
31.
If f(a)=f(b) there exists some point c where...: f'(c)= 0 Rolle's Theorem
32.
int (a to b) f(x)dx= F(b)-F(a): Fun de Calc Part I
33.
sin (u-v)=: sin u cos v - cos u sin v
34.
sin (u+v)=: sin u cos v + cos u sin v
35.
sin 2u=: 2 sin u cos u
36.
tan (u-v)=: (tan u - tan v)/ (1+ tan u tan v)
37.
tan (u+v)=: (tan u + tan v)/ (1- tan u tan v)
38.
tan 2u=: 2tan u/ (1-tan^2 u)
39.
tan^2(x) + 1=: sec^2(x)
