$(1$ point$)$

Suppose that gradf$(x,y,z)=2xyz{e}^{x^2}i+z{e}^{x^2}j+y{e}^{x^2}k.$

If $f(0,0,0)=-3,$ find $f(3,3,6).$

Hint: As a first step, define a path from $(0,0,0)$ to $(3,3,6)$ and compute a line integral.