Solution - Power equations

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
  ((— • 4) • x55) • x4
    x

Step  2  :

Dividing exponential expressions :

 2.1    x⁵⁵ divided by x¹ = x^{(55 - 1)} = x⁵⁴

Equation at the end of step  2  :

  4x54 • x4

Step  3  :

Multiplying exponential expressions :

 3.1    x⁵⁴ multiplied by x⁴ = x^{(54 + 4)} = x⁵⁸

Final result :

  22x58