Category:Definitions/Derivatives
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This category contains definitions related to Derivatives.
Related results can be found in Category:Derivatives.
Let $I \subset \R$ be an open interval.
Let $f: I \to \R$ be a real function.
Let $f$ be differentiable on the interval $I$.
Then the derivative of $f$ is the real function $f': I \to \R$ whose value at each point $x \in I$ is the derivative $\map {f'} x$:
- $\ds \forall x \in I: \map {f'} x := \lim_{h \mathop \to 0} \frac {\map f {x + h} - \map f x} h$
Subcategories
This category has the following 2 subcategories, out of 2 total.
D
- Definitions/Derived Curves (1 P)
H
Pages in category "Definitions/Derivatives"
The following 40 pages are in this category, out of 40 total.
D
- Definition:Derivative
- Definition:Derivative of Real Function
- Definition:Derivative of Real Function at Point
- Definition:Derivative of Vector-Valued Function
- Definition:Derivative of Vector-Valued Function at Point
- Definition:Derivative of Vector-Valued Function on Open Set
- Definition:Derivative on Interval
- Definition:Derivative/Also known as
- Definition:Derivative/Function With Values in Normed Space
- Definition:Derivative/Higher Derivatives
- Definition:Derivative/Higher Derivatives/Second Derivative/Notation/Newton Notation
- Definition:Derivative/Notation
- Definition:Derivative/Notation/Leibniz Notation
- Definition:Derivative/Notation/Newton Notation
- Definition:Derivative/Real Function
- Definition:Derivative/Real Function/Derivative at Point
- Definition:Derivative/Real Function/Derivative at Point/Definition 1
- Definition:Derivative/Real Function/Derivative at Point/Definition 2
- Definition:Derivative/Real Function/Derivative on Interval
- Definition:Derivative/Real Function/With Respect To
- Definition:Derivative/Vector-Valued Function
- Definition:Derivative/Vector-Valued Function/Open Set
- Definition:Derivative/Vector-Valued Function/Point
- Definition:Derived Curve
- Definition:Derived Function
- Definition:Differential Coefficient
- Definition:Differentiation With Respect To