The maximum directional derivative of the function f (x, y, z) = x'y°z° at the point (1, 1, 2) is a) 36 O b) None of these c) 12 O d) 1

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A: Equation of the tangent plane to the surface

Q: f(x, y) = ln(-6x – 4y), (5,6), A=6i + 8j 14 17 A) 135 135 B) C)/17 D) 11 135

A: Duf=∇f·uu

Q: 2. Find the directional derivative of f(x,y) = x cos y in the direction of v = 22, -1). A. (2 cos y…

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Q: Q2) Find az/du and äz/au for the following function and then find dz/ou and az/dv at the given…

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Q: 8. Find the directional derivative off at the p in the direction of v = () of f(x, y, z)=x²exx, p =…

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Q: Find the directional derivative of Du" f (2,1) in the direction of: a = 3i + 4j To f(x, y) = InGes…

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Q: a) Compute the directional derivative of the function shown below at the point (1, 0, -2) in the…

A: Since, you have posted multiple question. I am answering first one. Please post again with specific…

Q: Find the directional derivative of f(x, y, z) = cz+y² at (1, 0, 4) in the direction of a =. = IZ

A: Differential equations are those equations of mathematics that involve dependent variables ,…

Q: z= f(x,y) ; x= r-s1 , y= r2s and zx(0,-1) = -24 ; If zx(0,-1)=-18, what is the value of the…

A: Given that z=f(x,y),     zx(0,-1)=-24 and  zy(0,-1)=-18x=r-s and y=r2s We have to find zr(0,-1).

Q: The equation of the tangent plane of the graph of function z = xy + 2x² - y3 at point (2, -1) is

A:

Q: a) Describe the curve obtained when we make y = 2 and 2= √2 a f b) Represent on this curve the…

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Q: ) Find the directions in which the directional derivative of f (x,y) =4x2+sin (5 xy) at (1,0) has…

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Q: 4) Let f(x, y) = x² – 2xy a) Find the gradient of f at the point (1, –2). b) Use the result of (a)…

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Q: a) Compute the directional derivative of the function shown below at the point (1, 0, -2) in the…

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Q: Q3 Find the directional derivative of f(x,y,z)=xy+yz+zx at the point (1,-1,2) in the direction of A…

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Q: a) Find the directional derivative of the function f(x, y, z) = x2 y (2z+1)² at the point P:(1, -1,…

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Q: Find the equation of the tangent plane to f(x, y)= x´ – x y – y at point P (1, 1, -1).

A: Consider the equation

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A: The equation to be proved is,

Q: a) Compute the directional derivative of the function shown below at the point (1, 0, -2) in the…

A: NOTE:- As per our guidelines, We’ll answer the first question since the exact one wasn’t specified.…

Q: 1. A function of two variables is given f(x, y) = x² + y² + e-(x² + y²) a) Draw a picture of the…

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