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Derivative of an Inverse Relation
If:
$$x=f(y)$$
then:
$$\frac{dy}{dx}=\frac{1}{dx/dy}$$
provided:
$$\frac{dx}{dy}\neq0$$
Usage
- Used when the curve is more naturally expressed with $$x$$ as a function of $$y$$.
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Derivative of an Inverse Relation
If:
$$x=f(y)$$
then:
$$\frac{dy}{dx}=\frac{1}{dx/dy}$$
provided:
$$\frac{dx}{dy}\neq0$$
Usage
- Used when the curve is more naturally expressed with $$x$$ as a function of $$y$$.
---
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