Mister Exam

Derivative of 3x^2-12x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   2       
3*x  - 12*x
$$3 x^{2} - 12 x$$
3*x^2 - 12*x
Detail solution
  1. Differentiate term by term:

    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:

    2. 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 result is:


The answer is:

The graph
The first derivative [src]
-12 + 6*x
$$6 x - 12$$
The second derivative [src]
6
$$6$$
The third derivative [src]
0
$$0$$