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Determine the zeroes of dy if y=(4x+2)/(2x-4) .
Solution
y = (4x+2)/(2x-4)
To determine the zeros of dy ,we difrentiate the function and set dy/dx to zero and solve for x.
y = (4x+2)/(2x-4) = 2+ [4x+2-2(2x-4)]/(2x-4)
y' = (2X)' +[10/(2X-4)]'
y' = 0 + 10(-2)/(2x-4)^2 = -20/(x-4) ^2.
Therefore y' = 0 implies -20/(x-4) = 0. This requires x = + or - infinity. Or y' = 0 can not be for
any finite values of x.x.

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Determine the zeroes of dy if y=(4x+2)(2x-4) .Solutiony = (4x.pdf

  • 1. Determine the zeroes of dy if y=(4x+2)/(2x-4) . Solution y = (4x+2)/(2x-4) To determine the zeros of dy ,we difrentiate the function and set dy/dx to zero and solve for x. y = (4x+2)/(2x-4) = 2+ [4x+2-2(2x-4)]/(2x-4) y' = (2X)' +[10/(2X-4)]' y' = 0 + 10(-2)/(2x-4)^2 = -20/(x-4) ^2. Therefore y' = 0 implies -20/(x-4) = 0. This requires x = + or - infinity. Or y' = 0 can not be for any finite values of x.x.