(Solution Library) Use the definition of directional derivative to show that the derivative of f at a in the direction -v is the negative of the derivative
Question: Use the definition of directional derivative to show that the derivative of \(f\) at a in the direction \(-\mathrm{v}\) is the negative of the derivative of \(f\) at a in the direction \(\mathbf{v}\); that is, \(D_{-\mathbf{v}} f(\mathbf{a})=-D_{\mathbf{v}} f(\mathbf{a})\).
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