Mister Exam

Derivative of 3x³

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   3
3*x 
$$3 x^{3}$$
d /   3\
--\3*x /
dx      
$$\frac{d}{d x} 3 x^{3}$$
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]
   2
9*x 
$$9 x^{2}$$
The second derivative [src]
18*x
$$18 x$$
The third derivative [src]
18
$$18$$
The graph
Derivative of 3x³