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Gradients and Vectors : Rate of Maximum Increase

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Find the direction in which f(x,y,z) = ze^(xy) increases most rapidly at the point (0,1,2) What is the maximum rate of increase?

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Solution Summary

Gradients are used to find the rate of maximum increase.

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Since df/dx=zye^(xy), df/dy=zxe^(xy), df/dz=e^(xy), then
at the ...

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