49. If y = a log x + bx² + x has its extremum value at x = -1 and x = 2, then ​

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49. If y = a log x + bx² + x has its extremum value at x = -1 and x = 2, then

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Katherine 5 months 2022-01-01T17:57:16+00:00 2 Answers 0 views 0

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    2022-01-01T17:58:36+00:00

    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

    0
    2022-01-01T17:58:40+00:00

    \huge{\boxed{\overline{\underline{\mathfrak{\fcolorbox{cyan}{blue}{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

    silentlover45.❤️

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