Please help. Prove that for any differentiable function z=f(x,y), the steepest ascent of z at the point is given by
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Are you familiar with directional derivatives? It may be proven that $\displaystyle D_{\mathbf{u}}f(x,y)=\nabla f(x,y)\cdot\mathbf{u}$ for a unit vector $\displaystyle \mathbf{u}$.
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