Can you help with question 7? ad,Ame%%20Strom%20(z-lib.org).pdferstad,Ar.31 / 310%097SMO 5. (a) Find the directional derivative off(x, y, z) = xy In(x² + y² + z²).2%3Dat (1, 1, 1) in the direction given by the vector from the point (3, 2, 1) to the point (-1, 1, 2).(b) Determine also the direction of maximal increase from the point (1, 1, 1).EM 6. Suppose that f (x, y) has continuous partial derivatives. Suppose too that the maximum direc-tional derivative of f at (0, 0) is equal to 4, and that it is attained in the direction given by thevector from the origin to the point (1, 3). Find V f (0, 0).7. Let b = (bị,.Show that the derivative of f along the vector a = (aj, ., an) is b · a.ba) be a given vector and define-the function f (x) = ƒ(x1,..., Xn) = b · x.8. Let f(v) = f(v1,., Vn) denote a positive valued differentiable function of n variables definedwhenever vi > 0, i = 1, 2, ..., n. The directional elasticity of ƒ at the point v along the vectorv/||v| = a, hence in the direction from the origin to v, is denoted by El, f (v) and is, by definition,El, f(v) =|A|||| A||where f'(v) is the directional derivative of ƒ in the direction given by a. Use (8) to show thatBT321 Sp21_PS2.pdf20215-QF202-quiz. pdf20215 QF202 qui.RmdCAPM Notes.pdf2-58 PM3/12/2021ilyBANG & OLUFSdn 6ddprt scdeletehomepua144トトwnulock+backspace8.6.

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Description: Can you help with question 7? ad,Ame%%20Strom%20(z-lib.org).pdferstad,Ar.31 / 310%097SMO 5. (a) Find the directional derivative off(x, y, z) = xy In(x² + y² + z²).2%3Dat (1, 1, 1) in the direction given by the vector from the point (3, 2, 1) to the p