Mister Exam

Derivative of y=x¹⁵

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 / 5\
 \1 /
x    
$$x^{1^{5}}$$
  / / 5\\
d | \1 /|
--\x    /
dx       
$$\frac{d}{d x} x^{1^{5}}$$
Detail solution
  1. Apply the power rule: goes to

  2. Now simplify:


The answer is:

The first derivative [src]
 / 5\
 \1 /
x    
-----
  x  
$$\frac{x^{1^{5}}}{x}$$
The second derivative [src]
0
$$0$$
The third derivative [src]
0
$$0$$