49. If y = a log x + bx² + x has its extremum value at x = -1 and x = 2, then Question 49. If y = a log x + bx² + x has its extremum value at x = -1 and x = 2, then in progress 0 Math Katherine 5 months 2022-01-01T17:57:16+00:00 2022-01-01T17:57:16+00:00 2 Answers 0 views 0

## Answers ( )

Answer:=> a = 2 and b = -1/2

y = a log x + bx² + x has its extremum value at x = -1 and x = 2

dy/dx = 0 at x = -1 and x = 2

=> a/x + 2bx + 1 = 0, at x = -1 and x = 2

-a – 2b + 1 = 0 and a/2 + 4b + 1 = 0

=> a = 2 and b = -1/2

## => a = 2 and b = -1/2

## y = a log x + bx² + x has its extremum value at x = -1 and x = 2

## dy/dx = 0 at x = -1 and x = 2

## => a/x + 2bx + 1 = 0, at x = -1 and x = 2

## -a – 2b + 1 = 0 and a/2 + 4b + 1 = 0

## => a = 2 and b = -1/2

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