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Q#1 Calculus GATE EC 2023 MCQ +1 mark -0.33 marks

The rate of increase, of a scalar field  in the direction  at a point  is

2

4

Explanation:

Given, scalar field,

 

finding the gradient of this Scalarfield.

By the formula.

 

Gradient of scalar field,

 

At point

 

Now finding the direction derivative,

Directional derivative,

 

 

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