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The derivative of the function/ x^n

Derivative of x^n

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 n
x
$$x^{n}$$ 
x^n
Detail solution

  1. Apply the power rule: goes to

  2. Now simplify:

The answer is:

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