Which of the following is the directional derivative of f(x, y) = 2xy² - x³y at the point (1, 1) in the direction that has the angle with x-axis? Select one: O 3+√3 2 O √3 2 O None of them - √3 2 O 3-√3 2 S ▸

Q: et Evaluate the derivative: da 4 S (3t2 – 2t + 4) dæ.

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Q: Current Attempt in Progress 2y Find the directional derivative of f(x, y, z) = at P(5, 2, -4) x + z…

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Q: 1 Find the direction derivative of f(x, y, z) = x²y -zx -y³x at the point (1,-1,1) in the direction…

A: Directional derivative

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Q: nd the directional derivative of f at P in the direction of a. f(x, y, z) = xy + z²; P(-1,-1,-3);…

A: We have used definition of the directional derivative.

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Q: Calculate the derivative of the function. Then find the value of the derivative as specified. dr 6.…

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Q: The directional derivative of the function = x? - xyz + y at the point (1, 2, -1) in the direction…

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Q: d (a) / ₁ (t²-1)²dt. -10 -10 (b)/(t²-1)²dt. (c) d dx 32² -10 3x² (t²-1)² dt. d (d) — (t²-1)²dt. dx…

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Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z + z.x] at the point 1-z…

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Q: Determine the derivative of y = 24*. A. 24x+2 In 2 C. 34x+2 In 2 B. 63r+2 In 2 D. 44*+2 In 2

A: So in this we have to do simple derivative of given so I'm providing hand written solution for this

Q: What is Vf at P? Vƒ\p = What is the derivative of f at P in the direction of ủ = i- (Düf)p

A: Remember : The maximum value of directional derivative Du→fx→  (and hence then the maximum rate of…