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Find the directional derivative of the function at the given point in the direction of the vector v. {image} -9.4 -7.9 -9.07 1 2 3 4 5 6 7 8 9 10 11 12.

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Presentation on theme: "Find the directional derivative of the function at the given point in the direction of the vector v. {image} -9.4 -7.9 -9.07 1 2 3 4 5 6 7 8 9 10 11 12."— Presentation transcript:

1 Find the directional derivative of the function at the given point in the direction of the vector v. {image} -9.4 -7.9 -9.07 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2 Find the directional derivative of {image} in the direction of {image} Select the correct answer. The choices are rounded to the nearest tenth. -3 -0.4 3 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3 Find the direction in which the function {image} decreases fastest at the point {image} .
1. 2. {image} 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4 Find equation of the tangent plane to the given surface at the specified point. {image}
1. 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50


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