What are derivatives in 3D? Intro to Partial Derivatives

Imagine walking in only the x or only the y direction on a multivariable function f(x,y). The slope in these directions gives the idea of a partial derivative. It's much like the slope of a single variable function is the derivative, it is just now we have more than one direction we can go to. When heading, say, parallel to the x axis this is equivalent to saying the y is constant. This makes computing partial derivatives easy: just take a normal derivative as if the other variable is contant.

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Видео What are derivatives in 3D? Intro to Partial Derivatives канала Dr. Trefor Bazett