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Find the directional derivative of f at the given point in the direction indicated by the angle θ.

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Find the directional derivative of f at the given point in the direction indicated by the angle θ.

 

asked Feb 18, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The function is , point is and angle is .

Consider .

Apply partial derivative on each side with respect to x.

Substitute in .

Apply partial derivative on each side with respect to y.

Substitute in .

Step 2:

The directional derivative in the direction of a unit vector then

.

The directional derivative of the function at a point in the direction is

.

Solution :

The directional derivative of the function is .

answered Feb 23, 2015 by joseph Apprentice
edited Feb 23, 2015 by joseph

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