**Find the indicated partial derivatives.**Given the function:\[ f(x, y, z) = \frac{y}{x + y + z} \]Calculate the partial derivative of \( f \) with respect to \( y \), evaluated at the point \((x, y, z) = (-2, 1, 3)\):\[ f_y(-2, 1, 3) \]A box contains the value:\[ f_y(-2, 1, 3) = \frac{1}{2} \]There is a red "X" mark indicating that this value is incorrect.

Answered: Find the indicated partial derivatives.…

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.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 25E

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Find the indicated partial derivatives. f(x, y, z) = fy(-2, 1, 3) = 1 2 x+y+z fy(-2, 1, 3)