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Define the quotient rule.

  • Calculus -

    If f and g are functions of x

    d/dx(f/g) = (f'g - fg')/g^2

    This is just a variation of the well-loved product rule, where f/g = f * g^-1

    d/dx(f * g^-1) = f'*g^-1 + f*(-1)g^-2 * g'
    = f'/g - fg'/g^2
    = (f'g - fg')/g^2

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