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The derivative of the function/ x^(n+1)

Derivative of x^(n+1)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 n + 1
x
$$x^{n + 1}$$ 
x^(n + 1)
Detail solution

  1. Apply the power rule: goes to

  2. Now simplify:

The answer is:

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