Mister Exam

Derivative of 3*x^4

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   4
3*x 
3x43 x^{4}
3*x^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: 12x312 x^{3}


The answer is:

12x312 x^{3}

The graph
02468-8-6-4-2-1010-5000050000
The first derivative [src]
    3
12*x 
12x312 x^{3}
The second derivative [src]
    2
36*x 
36x236 x^{2}
The third derivative [src]
72*x
72x72 x
The graph
Derivative of 3*x^4