Mister Exam

Other calculators

The derivative of the function/ x^(2*n)

Derivative of x^(2*n)

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 2*n
x
$$x^{2 n}$$ 
x^(2*n)
Detail solution

  1. Apply the power rule: goes to

  2. Now simplify:

The answer is:

The first derivative [src] 
     2*n
2*n*x   
--------
   x
$$\frac{2 n x^{2 n}}{x}$$
Simplify
The second derivative [src] 
     2*n           
2*n*x   *(-1 + 2*n)
-------------------
          2        
         x
$$\frac{2 n x^{2 n} \left(2 n - 1\right)}{x^{2}}$$
Simplify
The third derivative [src] 
     2*n /             2\
4*n*x   *\1 - 3*n + 2*n /
-------------------------
             3           
            x
$$\frac{4 n x^{2 n} \left(2 n^{2} - 3 n + 1\right)}{x^{3}}$$
Simplify
    © Mister Exam – Calculator