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studypops: April 5th || Nothing like higher order partial derivatives with natural logs to make me feel like a freckin idiot. My test is tomorrow, tryyyying to stay positive

Is computing the partial derivative and taking the limit (x,y)-->(0,0) the same as finding the partial derivative at (0,0) through its definition?

Calculus...the really sad part is I understand it and laughed... Lol

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Calculus III - Partial Derivatives

In mathematics, a 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). Partial derivatives are used in vector calculus and differential geometry. #Glogster #PartialDerivatives

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Differential equations are those types of equations that have some derivatives of certain functions. The derivatives can either be ordinary derivatives or partial derivatives. If there are only ordinary derivatives in the equation then, the equation is defined as the ordinary type of differential equation and if the equation has all its terms as partial derivative then, such type of equation is called as partial differential equation.

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Partial derivatives are so called because they're the derivatives of multivariable functions. When a function is defined in terms of two or more variables, the function's derivative is actually a collection of partial derivative equations.