Solution - Simplification or other simple results

Step  1  :

             d
 Simplify   ——
            dx

Canceling Out :

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

Equation at the end of step  1  :

   1
  (— • x53) • x
   x
 Step  2  :

Multiplying exponential expressions :

 2.1    x⁵² multiplied by x¹ = x^{(52 + 1)} = x⁵³

Final result :

  x53