Question
Find the maximum rate of change of $ f $ at the given point and the direction in which it occurs.$ f(x, y, z) = x\ln (yz) $, $ (1, 2, \frac{1}{2}) $
Step 1
The gradient of a function is a vector whose components are the partial derivatives of the function. So, we have: \[ \nabla f = \left\langle \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, \frac{\partial f}{\partial z} \right\rangle \] Show more…
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