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math

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what is the derivatice of 3x-4/4x+2

  • math - ,

    I will assume you mean
    (3x-4)/(4x+2)

    use the quotient rule ...

    y = (3x-4)/(4x+2)
    dy/dx = ( (4x+2)(3) - (3x-4)(4) )/(4x+2)^2
    = (12x + 6 - 12x + 16)/(4x+2)^2
    = 22/(4x+2)^2
    or
    = 11/(2(2x+1)^2)

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