calculus 3 tangent planes

Calculus
Tutor: None Selected Time limit: 1 Day

Oct 28th, 2015

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the maximum rate of change of f is its amplitude of the gradient at the point

grad f = 4y i +4xj +2zk 

at (-4,3,3) 

gradf = 12i-16j+6k 

 |grad f | = sqrt(144+256+36) = sqrt(436) = 2sqrt(109)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 28th, 2015

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