Mister Exam

Derivative of 3x(x-1)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
3*x*(x - 1)
$$3 x \left(x - 1\right)$$
(3*x)*(x - 1)
Detail solution
  1. Apply the product rule:

    ; to find :

    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:

    ; to find :

    1. Differentiate term by term:

      1. Apply the power rule: goes to

      2. The derivative of the constant is zero.

      The result is:

    The result is:


The answer is:

The graph
The first derivative [src]
-3 + 6*x
$$6 x - 3$$
The second derivative [src]
6
$$6$$
3-я производная [src]
0
$$0$$
The third derivative [src]
0
$$0$$