Derivative of Inverse Function/Also presented as

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Derivative of Inverse Function: Also presented as

When Leibniz's notation for derivatives $\paren {\dfrac {\d y} {\d x} }$ is being used, Derivative of Inverse Function is usually seen presented as:

$\dfrac {\d x} {\d y} = \dfrac 1 {\frac {\d y} {\d x} }$

or:

$\dfrac {\d x} {\d y} = \dfrac 1 {\d y / \d x}$

where:

$\dfrac {\d x} {\d y}$ is the derivative of $x$ with respect to $y$
$\dfrac {\d y} {\d x}$ is the derivative of $y$ with respect to $x$.

This must not be interpreted to mean that derivative can be treated as fractions; it is simply a convenient notation.


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