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Find the Directional Derivative of F(x, Y) = 3x2

Question 36

Multiple Choice

Find the directional derivative of f(x, y) = 3x2 + 2xy - 7y2 at the point (-1, 3) in the direction making an angle of 60° with the positive x- and y-axes.


A) -2 - 30 Find the directional derivative of f(x, y) = 3x<sup>2</sup> + 2xy - 7y<sup>2</sup> at the point (-1, 3) in the direction making an angle of 60° with the positive x- and y-axes. A) -2 - 30 B) - C) 1 - 15 D) -1 - 15 E) 1 -
B) - Find the directional derivative of f(x, y) = 3x<sup>2</sup> + 2xy - 7y<sup>2</sup> at the point (-1, 3) in the direction making an angle of 60° with the positive x- and y-axes. A) -2 - 30 B) - C) 1 - 15 D) -1 - 15 E) 1 -
C) 1 - 15 Find the directional derivative of f(x, y) = 3x<sup>2</sup> + 2xy - 7y<sup>2</sup> at the point (-1, 3) in the direction making an angle of 60° with the positive x- and y-axes. A) -2 - 30 B) - C) 1 - 15 D) -1 - 15 E) 1 -
D) -1 - 15 Find the directional derivative of f(x, y) = 3x<sup>2</sup> + 2xy - 7y<sup>2</sup> at the point (-1, 3) in the direction making an angle of 60° with the positive x- and y-axes. A) -2 - 30 B) - C) 1 - 15 D) -1 - 15 E) 1 -
E) 1 - Find the directional derivative of f(x, y) = 3x<sup>2</sup> + 2xy - 7y<sup>2</sup> at the point (-1, 3) in the direction making an angle of 60° with the positive x- and y-axes. A) -2 - 30 B) - C) 1 - 15 D) -1 - 15 E) 1 -

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