Derivative of an Implicit Function

Rarely Tested

Derivative of an Implicit Function

For:

$$F(x,y)=0$$

the derivative is:

$$\frac{dy}{dx}=-\frac{F_x}{F_y}$$

provided:

$$F_y\neq0$$

Usage

- Used when the relation between $$x$$ and $$y$$ is given implicitly.

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