Definition:
where is the slope of the line tangent to at .
A function is said to have derivable at a point if it has finite derivate at that point, which happens if the side derivates are equal. In that case
Properties of the derivatives:
Derivates of some trigonometric functions:
The fundamental equation of trigonometrics:
Sine and cosine as linear combinations of complex exponentials:
Useful formulas:
A function is said to be continous at some point iff :
Some properties:
If two events are incompatibles or dijoint:
If two events are independent:
Conditional probability:
Binomial probability law:
Factorial:
Ordered combinations without repetitions:
Ordered combinations with repetitions:
Unordered combinations without repetitions:
Some properties of unordered combinations without repetitions:
General formula:
Some useful formulas from the particular case, :
Definition:
Some trigonometric limits:
The Neper number related limits:
and the following theorems
Definition:
Sum of elements of the progression:
Definition:
Sum of elements of the progression:
Sum of all the elements:
Variance of some data around the mean:
Principle of the error propagation:
Linear regression ():