Mister Exam

Derivative of 1/4x^4

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 4
x 
--
4 
x44\frac{x^{4}}{4}
  / 4\
d |x |
--|--|
dx\4 /
ddxx44\frac{d}{d x} \frac{x^{4}}{4}
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: x4x^{4} goes to 4x34 x^{3}

    So, the result is: x3x^{3}


The answer is:

x3x^{3}

The graph
02468-8-6-4-2-1010-50005000
The first derivative [src]
 3
x 
x3x^{3}
The second derivative [src]
   2
3*x 
3x23 x^{2}
The third derivative [src]
6*x
6x6 x
The graph
Derivative of 1/4x^4