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The derivative of the function/ nx^n

Derivative of nx^n

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

The graph:

from to

Piecewise:

The solution

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

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: goes to

    So, the result is:

  2. Now simplify:

The answer is:

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