Partial Derivative notations
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A notation is simply just a way to represent something (in this case, to represent a partial derivative).
The partial derivate of f(x,y) with respect to y would look like...
If you see "∂" instead of "d" in Leibnitz notation, it means you're working with partial derivatives!
The partial derivate of f(x,y) with respect to y would look like...
Lagrange notation doesn't have a spot to declare what variable you're taking the derivative with respect to... so we won't use it with partial derivatives!
The partial derivate of f(x,y) with respect to y would look like...
The partial derivate of f(x,y) with respect to x, and then y would look like...
When working with multiple variables, take derivatives with respect to the variables in the same order declared!