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What is the Derivative of 1/x?

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What is the Derivative of 1/x?

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  1. -x^-2 +c

    -1/x^2 +c


  2. -x^-2

  3. -1/(x^2)

  4.   y= 1/x

    dy/dx = -1/x^2

  5. 1/x = x^(-1)

    And we know that d/dx (x^n) = n x^(n-1)

    Hence, d/dx (1/x) = -x^(-2) = -1/(x^2)

  6. d/dx x^-1

    = -x^-2

    = -1/(x^2)
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