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# Sec12.3 - Sec.12.3 Partial Derivatives A partial derivative...

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Sec.12.3 Partial Derivatives A partial derivative is a rate of change or slope of a cross-sectional model (vertical slice of the graph) of a multivariable function. That is, it is the slope of the tangent plane to a point on the surface of the given function. EX 1 Show transparencies. Notation: For the function z = f(x, y): x f f x = is the partial derivative of f in the x direction. It is found by holding y constant and taking the derivative of the function with respect to x. y f f y = is the partial derivative of f in the y direction. It is found by holding x constant and taking the derivative of the function with respect to y. EX 2 Find all first partials for:

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