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f we start at the point (1,3,2), then in what direction should we move if we want to maximize the directional derivative?

Sagot :

To maximize,  it has positive direction at x=1 in first quadrant

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

Given function:

F=x³z - yz²

Find the following :

[tex]\partial F/\partial x+ \partial F/\partial y + \partial F/\partial z[/tex]

= 3x²z + (-z²) + (x³-2yz)

So, gradient = 3x²z -z²  + x³-2yz

Find the gradient  at (1,3,2):

x=1, y=3 and z=2

gradient = 3*1*2 - 9 +1 - 12  = -14

To maximize,  it has positive direction at x=1 in first quadrant = 14

To learn more about the coordinates from the given link

https://brainly.com/question/17206319

#SPJ4

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