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find the derivative using quotient rule
F(x) = (x - 7 x sqrt(x)) / sqrt(x)

  • calculus -

    F'(x) = [bottom*derivative of top - top *derivative of bottom] / bottom^2

    =[x^.5 { 1-7(.5x x^-.5 +x^.5) } -(x-7x x^.5).5 x^-1.5 ]/ x

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