Question

Find the gradient vector field of f.

Answer 1

Step 1 :

Gradient vector field of the function is .

Step 2 :

The function is .

Differentiate   partially with respect to x.

Differentiate   partially with respect to y.

Differentiate   partially with respect to z.

Step 3 :

Find the gradient vector field of the function .

Substitute corresponding values.

Solution :