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Partial Derivatives and Gradients

Partial Derivatives and Gradients

Learn about partial derivatives and how to calculate the gradient of a multivariate function.

What are gradients?

A multivariate function in mathematics is a function that takes more than one input variable and produces one or more output variables. For example, the volume of a cylinder f(x,y)=πx2yf(x, y) = \pi x^2y is a multivariate function because it takes two inputs: the radius xx and the height yy of the cylinder.

For multivariate functions f(x)=f(x1,x2,...,xm)f(x) = f(x_1, x_2, ..., x_m) ...