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Timbo Slice
Timbo Slice asked in Science & MathematicsMathematics · 3 years ago

Explain multivariable differentiability definition?

For z = f(x, y), the total differential of z is

dz = fₓdx + fᵧdy, by definition.

So I understand the above sort of. At least I can read it.

I cannot understand the next definition for multivariable differentiability o.O I don't think any can! It looks like gibberish to me!

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  • oldprof
    Lv 7
    3 years ago

    Part 2 is just saying that over an area R^2 of real (x.y) points some function f(x,y) is differentiable over the entire open set S of (x,y) points if it can be differentiated over R^2.

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