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This one is a cheat-sheet for pretty general formulas of calculus such as derivatives, integrales, trigonometry, complex numbers… Something you may find useful in many contexts. It is also a good way to check what you remember years after school… ¯\_(ツ)_/¯
Derivatives
Definition
General rules
a, b, c are constant real number, x is the function’s variable, u and v are functions.
Linearity
Power rule
Product rule
Extended to 3 functions:
For a quotient:
Chain rule
Inverse rule
Generalized power rule
Rules for specific functions
Integrals
Definition (Riemann)
Rules
c is a constant real number, x is the function’s variable, u and v are functions of x. U and V are their integrals. We use the arrow ⟹ as “has for integral”. Each time, it is a “up to a constant” (+ C) that we don’t write here.
Linearity
Power (For n ≠ -1)
