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CalculusQ&A LibraryAssuming 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 point0XO 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.Question

Asked Nov 3, 2019

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How are the directional derivative and partial derivative related (more information in the image)

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The correct answer is the first option i.e. option A.

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