Question

write mathematical forms of gradient of a scalar function, divergence and curl of a vector​

Answer 1

Explanation:

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Contributed by Michael Corral

Professor (Mathematics) at Schoolcraft College

In this final section we will establish some relationships between the gradient, divergence and curl, and we will also introduce a new quantity called the Laplacian. We will then show how to write these quantities in cylindrical and spherical coordinates.

Gradient

For a real-valued function f(x,y,z) on R3 , the gradient ∇f(x,y,z) is a vector-valued function on R3 , that is, its value at a point (x,y,z) is the vector

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