Mister Exam

Derivative of 4*x^6

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   6
4*x 
4x64 x^{6}
4*x^6
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: x6x^{6} goes to 6x56 x^{5}

    So, the result is: 24x524 x^{5}


The answer is:

24x524 x^{5}

The graph
02468-8-6-4-2-1010-50000005000000
The first derivative [src]
    5
24*x 
24x524 x^{5}
The second derivative [src]
     4
120*x 
120x4120 x^{4}
The third derivative [src]
     3
480*x 
480x3480 x^{3}
The graph
Derivative of 4*x^6