Question: Let fbe a real-valued function on the plane oron the space, and let r0be a position.(a) Prove that -||f(r0)||Dd(f)(r0)||f(r0)||.(b) Prove that Dd(f)(r0)=||f(r0)|| only when dis

Let fbe a real-valued function on the plane oron the space, and let r0be a position.(a) Prove that -||f(r0)||Dd(f)(r0)||f(r0)||.(b) Prove that Dd(f)(r0)=||f(r0)|| only when dis pointing to the same direction off(r0), and thatDd(f)(r0)=-||f(r0)|| only when dis pointing to the same direction of-f(r0).

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