Find the gradient vector field of the scalar function f (That is, find the conservative vector field F for the potential function f of F.)

Question

Quizplus · Accepted Answer

The gradient vector field of a scalar function is given by the partial derivatives of the function with respect to each variable. In this case, since there is only one variable (denoted by the underscore), the gradient vector field is simply the derivative of the function with respect to that variable. Using the chain rule, we get that the gradient vector field of the given function is 11eaa3e5_54ca_1758_9f8f_fff5c804a6c5_TB5971_11, which is option C.

Find the Gradient Vector Field of the Scalar Function F