Concept: All partial derivatives can be found as a slope of a tangent plane (editing)

Prerequisite concepts
The Heater II
There is a partial derivative in every direction at any point

For a smooth, two dimensional function, a partial derivative can be found at any point and in any direction.
Derivatives can be found while holding one or more variables constant
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The magnitude of the derivative at a point is the slope of a tangent line at that point

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Directional Derivatives

All partial derivatives can be found as a slope of a tangent plane

Just as the derivative of a one-dimensional function at a point is equal to the slope of a tangent line at that point, and partial derivative of a multivariable function can be found as a slope of a tangent plane.

Representations used

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NEEDS NAME

2D Graph

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