# Category:Derivative of Composite Function

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This category contains pages concerning **Derivative of Composite Function**:

Let $f, g, h$ be continuous real functions such that:

- $\forall x \in \R: \map h x = \map {f \circ g} x = \map f {\map g x}$

Then:

- $\map {h'} x = \map {f'} {\map g x} \map {g'} x$

where $h'$ denotes the derivative of $h$.

Using the $D_x$ notation:

- $\map {D_x} {\map f {\map g x} } = \map {D_{\map g x} } {\map f {\map g x} } \map {D_x} {\map g x}$

This is often informally referred to as the **chain rule (for differentiation)**.

## Subcategories

This category has only the following subcategory.

## Pages in category "Derivative of Composite Function"

The following 4 pages are in this category, out of 4 total.