16. Suppose that r(t) = g(t)i + h(t)j + k(t)k is a smooth curve in the domain of a differentiable function f(x, y, z). Describe the relation between df / dt, ▼f, and v = dr/dt. What can be said about...

Extracted text: 16. Suppose that r(t) = g(t)i + h(t)j + k(t)k is a smooth curve in the domain of a differentiable function f(x, y, z). Describe the relation between df / dt, ▼f, and v = dr/dt. What can be said about Vf and v at interior points of the curve where f has extreme values relative to its other values on the curve? Give reasons for your answer.