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Wednesday, April 17, 2013

Partial Differentiation - Total Derivatives

Category: Differential Calculus

"Published in Newark, California, USA"

Find du/dt for the following functions:


Consider the given equation above

Since the first function has three variables, then we have to take the partial derivatives of a function with respect to x and y as follows

Next, take the derivative of the other functions with respect to x since they have only one variables as follows


Substitute the values of x and y in the above equation to obtain the final equation in terms of u and t as follows