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This category contains results about Derivatives in the context of Differential Calculus.

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 $f' \left({x}\right)$:

$\displaystyle \forall x \in I: f' \left({x}\right) := \lim_{h \mathop \to 0} \frac {f \left({x + h}\right) - f \left({x}\right)} h$


This category has the following 8 subcategories, out of 8 total.

Pages in category "Derivatives"

The following 39 pages are in this category, out of 39 total.