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Calculus
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13 Nov 2019

(a) Find the directional derivative of f(x,y,z)=xy2tan-1z at (2,1,1) in the direction of v=<1,1,1> .

(b) Find the maximum rate of change of f at this point , and the direction in which it occurs .

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Jamar Ferry
Jamar FerryLv2
26 Aug 2019

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Related questions

Mainly question b


Suppose f (x,y) = (x/y), P= (2,1) and v =1i+1j

1. Find the gradient of f
2. Find the gradient of f at the point P.
3. Find the directional derivative of f at P in the direction ofv
4. Find the maximum rate of change of f at P.
5. Find the (unit) direction vector in which the maximum rate ofchange occurs at P.

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