For a function,(adsbygoogle = window.adsbygoogle || []).push({}); z = f(x, y)

[tex]\frac{\partial z}{\partial x} = \lim_{\delta x\rightarrow0} \frac{f(x +\delta x, y) - f(x, y)}{\delta x}[/tex]

[tex]\frac{\partial z}{\partial y} = \lim_{\delta y\rightarrow0} \frac{f(x, y+\delta y) - f(x, y)}{\delta y}[/tex]

What is partial increament [itex]\delta x, \delta y [/itex]?

Wouldn't the function change if only x or y are increased?

What does the partial derivative of a function represent geometrically?

Wouldn't it produce 2 tangents?

Lastly, what are its applications?

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# Partial Derivatives

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