Mathematics, 30.08.2020 01:01 Aestheticblue
Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 9 sin(xy), (0, 8)
Answers: 3
i.e toward the x-axis
![\Delta f(x,y) = [\frac{\delta f(x,y)}{\delta x } i + \frac{\delta f(x,y)}{\delta y } j ]](/tpl/images/0734/5344/324ee.png)
![\Delta f(x,y) = [\frac{\delta (9sin(xy))}{\delta x} i + \frac{\delta (9sin(xy))}{\delta y} i ]](/tpl/images/0734/5344/2b48a.png)
![\Delta f(x,y) = [9y cos (x,y) i + 9xcos (x,y) j]](/tpl/images/0734/5344/a7197.png)
![\Delta f (0,8) = [9(8) cos(0* 8)i + 9(8) sin(0* 8)j ]](/tpl/images/0734/5344/a4596.png)
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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y...
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