Question

2) The direction in which f decreases most rapidly at A(0,1,1) is: а. + 3 14 14 14 2 с. + 3 14 + 14 e. None of the above а. b. ООО оо С d

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Abdul-Rahim Taysir

Answer 1

For a function f(x, y, z) direction in which f decreases most rapidly at point P is the negative of the value of gradient. at that point Grad f = Df= of it at it at Ŕ РЧ 22 vt te (x, y, 2) ? + fy (ky, 2) it to (se - If at point A (0, 1, 2 It = - + (0,1,1) ê - ty (0,1,1); - t (0,1,D Å

since the picture you have uploaded does not contain the function & I have solved the general problem. Fut If you know partial differentiation it is pretty easy.