Properties of functions

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Order ꝏ

Order 2

Order 1

Order 0

Mathematical tools

Derivative

Limits

Inequalities

Equations

Properties of functions

Local properties

Approximation

Asymptotes

(Locally) Constant

Straight line

Parabola

Taylor series

Outline

Zeroes Sign

Monotonicity Critical points

Concavity Points of inflection

Graph

Smoothness

Continuous

1-differentiable

2-differentiable

Smooth

Global properties

Invariance

Periodicity

Parity

Neither even nor odd

Odd

Even

Invertibility

Surjectivity

Bijectivity

Injectivity