Question: Suppose vec(c)(t)=(x(t),y(t))is a set of parametric equations for an arbitrary level curve of the differentiable function z=f(x,y). Prove that the gradient of fgradf f.Hint: let

Suppose vec(c)(t)=(x(t),y(t))is a set of parametric equations for an arbitrary level curve of the differentiable function z=f(x,y). Prove that the gradient of fgradf f.Hint: let g(t)=f(vec(c)(t))=f(x(t),y(t)) and use the chain rule.

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