Mister Exam

Derivative of (3x^4)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   4
3*x 
$$3 x^{4}$$
d /   4\
--\3*x /
dx      
$$\frac{d}{d x} 3 x^{4}$$
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: goes to

    So, the result is:


The answer is:

The graph
The first derivative [src]
    3
12*x 
$$12 x^{3}$$
The second derivative [src]
    2
36*x 
$$36 x^{2}$$
The third derivative [src]
72*x
$$72 x$$
The graph
Derivative of (3x^4)