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d/dx cos x =
-sin x
d/dx sec x =
sec x tan x
d/dx tan x =
sec^2 x
d/dx cot x =
- csc^2 x
d/dx csc x =
- csc x cot x
d/dx sin x =
cos x
∫ csc u du =
-ln |csc u + cot u| + C
∫ sec u du =
ln |sec u + tan u| + C
∫ cot u du =
ln |sin u| + C
∫ tan u du =
-ln |cos u| + C
∫ sin u du =
-cos u + C
∫ cos u du =
sin u + C
∫ a^x dx =
(1/ln a) * a^x + C
d/dx (log_a u) =
(1/ln a) (1/u) u'
d/dx (a^u) =
(ln a) a^u du/dx
d/dx (ln x) =
1/x
∫ (1/x) dx =
ln |x| + C
d/dx (e^x) =
e^x
∫ e^x dx =
e^x + C
d/dx arcsin u =
u' / √(1 - u^2)
d/dx arctan u =
u' / (1 + u^2)
d/dx arcsec u =
u' / (|u| * √(u^2 - 1))
d/dx arccos u =
- u' / √(1 - u^2)
d/dx arccot u =
- u' / (1 + u^2)
d/dx arccsc =
- u' / (|u| * √(u^2 - 1))
∫ du / √(a^2 - u^2) =
arcsin (u/a) + C
∫ du / (a^2 - u^2) =
(1/a) * arctan (u/a) + C
∫ du / (u * √(a^2 - u^2)) =
(1/a) * arcsec (|u| / a) + C
Continuous Interest Formula
A = Pe^rt
Compound Interest Formula
Y = P * (1 + (r/n))^nt
Inverse Derivative Formula
g'(x) = 1 / f'(g(x))