Solution - Simplification or other simple results

Step  1  :

            1
 Simplify   —
            x

Equation at the end of step  1  :

   d   1
  —— • —
  dx   x

Step  2  :

             d
 Simplify   ——
            dx

Canceling Out :

 2.1    Canceling out d as it appears on both sides of the fraction line

Equation at the end of step  2  :

  1   1
  — • —
  x   x

Step  3  :

Multiplying exponential expressions :

 3.1    x¹ multiplied by x¹ = x^{(1 + 1)} = x²

Final result :

   1
  ——
  x2