Question

yie.com torms/d/e/1FAIpQLScCveXLRF8r7aSXSNG-7mxluz90govMXGSVNSQz1nMSr_-Q/viewform?hr submission=Chkl1cWpOeVLEhAlle OuQDlgd-GODEAE Exercise 2. Directional derivative (6 pts + 9 pts) Let f(x, y, z) = xy + y2 – 23 – 105. 1) Vf = a. yi + (x +2y); – 3z2K b. (y + y)i + (x + 2y); – 3z2k c. xi + (y + 2y); - 3z2K d. None of the above O a Ob Od 111

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Abdul-Rahim Taysir

Answer 1

nos af point pea,b) direction Direction derivative of fca, y) olong ů is Da fca, b) = of ca,b). lal

Given fca, y, z) = xy + y² - 2²-105. af If 1 afi + 2 3 dy + I of a (ay+ y² - 33-105) E y.dn to ә, y to - ) ay a (ny + y² – 23 -105) dy a (4²) - ay ay a y + a Z atay af T3 2 (ny + y² - 23_105) 23 2 (2²) 0 +0 - 2 -32 So, If = yil + (x+2y)] - 32² k V option A