Question

Paula notes on geometrical re of partpial derivatives

Answer 1

Answer:

partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary).

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Answer 2

Answer -

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• Partial derivatives are the slopes of traces. The partial derivative fx(a,b) f x ( a , b ) is the slope of the trace of f(x,y) f ( x , y ) for the plane y=b at the point (a,b) . Likewise the partial derivative fy(a,b) f y ( a , b ) is the slope of the trace of f(x,y) f ( x , y ) for the plane x=a at the point (a,b) .

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