Mister Exam

Derivative of x^5/5

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 5
x 
--
5 
x55\frac{x^{5}}{5}
x^5/5
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: x5x^{5} goes to 5x45 x^{4}

    So, the result is: x4x^{4}


The answer is:

x4x^{4}

The graph
02468-8-6-4-2-1010-5000050000
The first derivative [src]
 4
x 
x4x^{4}
The second derivative [src]
   3
4*x 
4x34 x^{3}
The third derivative [src]
    2
12*x 
12x212 x^{2}
The graph
Derivative of x^5/5