3. Find the directional derivative of $f(x, y, z) = \sin(x^2z^3) + e^{xyz} + \ln(zx - zy)$ at the point $P = (1, 0, 1)$ in the direction from that point toward the origin.
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The gradient of a function is a vector that points in the direction of the steepest increase of the function at a given point. It is given by the partial derivatives of the function with respect to each variable. ∇f(x, y, z) = (∂f/∂x, ∂f/∂y, ∂f/∂z) Taking the Show more…
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