Determine the directional derivative of f(x, y, z)= tan-1(2²)U = (-1,2,2) at P(0, 1, 1). Determine also the maximum and minimum directionalderivative of f along the unit vector.where

The given function is fx,y,z=tan-1xy22z2-1. The direction vector is u=-1,2,2 and the point is…

Answered: Determine the directional derivative of…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

See similar textbooks

Similar questions

Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y) = 7ex sin(y), (0, ?/3), v = (-3,4)
Consider the function defined by f(x,y) = 4xy - 2x2. Evaluate the directional derivative of f at point(1,-1) in direction of the vector which subtends an angle of pi/6 with the positive x-axis.
Find the directional derivative of ø = x² + y² + z² at point (1, 2, 1) for a direction determined by dx = 2dy = -2dz.
Find the directional derivative of f(x, y) = 2x + 6y at the point (6, 5) in the direction - 1п 3 radians.
Find the direction derivative of f(x, y, z) = x²y -zx -yx at the point (1,-1,1) in the direction 3i+4k
Find the directional derivative of f(x, y, z) = xy + z 3 at the pointP = (3, -2, -1) in the direction pointing to the origin.
Find the directional derivative of the function at P in the direction of v. ) = x³ - y³, P(8, 5), v = V2 (i + j) 2
Find the directional derivative of the function: f(x, y) z² + 4y at the point (0, 0) in the direction of the vector (– 3, 1). You may enter your answer as an expression or as a decimal with at least 4 significant figures. |
Find the directional derivative of g(a, b) = cos(3a + 4b) at the π point ( along the direction of the vector (-4,-3)
Compute the directional derivative of f(x,y) at the point P in the direction of the point Q. f(x,y) = 4x y - 3x, P = (3,2), Q= (4,4) ..... Duf(3,2) = (Type an exact answer, using radicals as needed.)
Find the directional derivative of f(x,y) = 2x –y´ at the point (1, 3) in the direction toward the point (3, 1).
Compute the directional derivative of the function g(x,y) = sin((5x - 4y)) at the point P(3,3) in the direction vector. The directional derivative is (Type an exact answer, using as needed.) C Be sure to use a unit vector for the direction

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

SEE MORE TEXTBOOKS

Determine the directional derivative of f(x, y, z) = tan-1 221) where U = (-1,2,2) at P(0, 1, 1). Determine also the maximum and minimum directional derivative of f along the unit vector.