In this paper, we define a functional optimization problem corresponding to smooth functions which its optimal solution is first derivative of these functions in a domain. These functional ...

Now let's write a function df_dy that takes multiple terms and returns an list of tuples that represent the derivative of our multivariable function. So here is our function: $ f (x, y) = 4x^2y + 3x + ...

This toolkit is a Python-based library designed to help computations in multivariable calculus. It provides classes and methods for differentiating expressions, computing gradients, finding unit ...

Finding the extrema of a multivariable function is an essential skill in calculus and applied mathematics. This process allows you to determine the minima and maxima of a function across multiple ...

This is a preview. Log in through your library . Abstract Motivated essentially by several recent works on interesting generalizations of the first-order Volterra-type integro-differential equation ...