Assuming that the necessary derivatives of f(x,y,z) are defined, how are Dif, Dif, and Df related to f, fy, and f,? Give reasons for your answer. Choose the correct answer below. O A. D,f, D,f, and Df are equal to fy, fy, and f, respectively, because when u i, the directional derivative at Po is f, evaluated at that point, when u j, the directional derivative at Po is f, evaluated at that point, when u k, the directional derivative at Po is f, evaluated at that point 0 X O B. D,f, D,f, and Df are not related to fy, fv, and f,. O C. D,f, D,f, and Df represent the rate of change in the same direction as fy, f, and f, respectively, because directional vectors and gradient vectors have the same direction.

Assuming that the necessary derivatives of f(x,y,z) are defined, how are Dif, Dif, and Df related to f, fy, and f,? Give reasons for your answer. Choose the correct answer below. O A. D,f, D,f, and Df are equal to fy, fy, and f, respectively, because when u i, the directional derivative at Po is f, evaluated at that point, when u j, the directional derivative at Po is f, evaluated at that point, when u k, the directional derivative at Po is f, evaluated at that point 0 X O B. D,f, D,f, and Df are not related to fy, fv, and f,. O C. D,f, D,f, and Df represent the rate of change in the same direction as fy, f, and f, respectively, because directional vectors and gradient vectors have the same direction.

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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