Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions. f(x yz) 3 (x/у) - уz, Po(-2,- 1,-1) The direction in which the given function f(x,y,z) = (x/y)- yz increases most rapidly at Po(-2, - 1, – 1) is u=i+ Oj+ OK. (Type exact answers, using radicals as needed.) The direction in which the given function f(x,y,z) = (x /y) – yz decreases most rapidly at Po(-2, – 1, – 1) is -u = i+ k. (Type exact answers, using radicals as needed.) The derivative of the given function f(x,y,z) = (x/y) – yz in the direction in which the function increases most rapidly at Po(-2, - 1, – 1) is (Duf)(-2,-1,- 1) =U (Type an exact answer, using radicals as needed.) The derivative of the given function f(x,y,z) = (x/y) – yz in the direction in which the function decreases most rapidly at Po(-2, - 1, - 1) is (D-u)(-2,- 1. - 1) =D (Type an exact answer, using radicals as needed.)

Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions. f(x yz) 3 (x/у) - уz, Po(-2,- 1,-1) The direction in which the given function f(x,y,z) = (x/y)- yz increases most rapidly at Po(-2, - 1, – 1) is u=i+ Oj+ OK. (Type exact answers, using radicals as needed.) The direction in which the given function f(x,y,z) = (x /y) – yz decreases most rapidly at Po(-2, – 1, – 1) is -u = i+ k. (Type exact answers, using radicals as needed.) The derivative of the given function f(x,y,z) = (x/y) – yz in the direction in which the function increases most rapidly at Po(-2, - 1, – 1) is (Duf)(-2,-1,- 1) =U (Type an exact answer, using radicals as needed.) The derivative of the given function f(x,y,z) = (x/y) – yz in the direction in which the function decreases most rapidly at Po(-2, - 1, - 1) is (D-u)(-2,- 1. - 1) =D (Type an exact answer, using radicals as needed.)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

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

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

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 3CR: Determine whether each of the following statements is true or false, and explain why. The derivative...

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