Question

Find local maxima and local minima of 1-x+x*1+x+x

Answer 1

Answer:

the derivative of a function F(x,y) is zero (0) at a maxima or minima point.

you need to determine the value of the (x,y) combination that makes the derivative of the given function zero.

given Y = X + 1/X ;

dy/dx = 1 - 1/X^2 ;

dy/dx = 0 at a minima or maxima point ;

1–1/X^2 = 0 ; solve for X to get X = 1 and -1 ;

find the value of Y when X = 1 and when X = -1 ;

when X = 1 ; Y = 1 + 1/1 = 2; (x,y) = (1,2) .

when X = -1 ; Y = -1 + 1/-1 = -2 ; (x,y) = (-1,-2).

it is clear that of the two turning points, (1,2) is the maxima.

$<marquee>Mark as Brainlist$