Can you help with question 6? pd (6jorqij-z)07%wonso7%awy'peserstad, Ar.31 / 310%097SM 5. (a) Find the directional derivative off (x, y, z) = xy In(x² + y² + z²)%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 Vf(0, 0).7. Let b = (bi, ..., bn) be a given vector and define-the function f(x) = f(x1, ..., xn) = b - x.Show that the derivative of f along the vector a = (a1,..., an) is b · a.8. Let f(v) = f(v1,., Un) denote a positive valued differentiable function of n variables definedwhenever v; > 0, i = 1, 2, ..., n. The directional elasticity of f 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,A.||A||= (A)f(4) (4)S||A||where f'(v) is the directional derivative of f in the direction given by a. Use (8) to show thatShow allO 2021S QF202 qui.RmdBT321 Sp21_PS2.pdf20215-QF202-quiz. pdfCAPM Notes.pdf2:58 PM3/12/2021ilyBANG & OLUFSdn 6dddeletehomepuaprt scトトunulock++ backspace8.6.

Name: Can you help with question 6? pd (6jorqij-z)07%wonso7%awy'peserstad, A
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Description: Can you help with question 6? pd (6jorqij-z)07%wonso7%awy'peserstad, Ar.31 / 310%097SM 5. (a) Find the directional derivative off (x, y, z) = xy In(x² + y² + z²)%3Dat (1, 1, 1) in the direction given by the vector from the point (3, 2, 1) to the poin