Mister Exam

Other calculators

3x^2-6x+6
The derivative of the function/ 3x^2-6x+6

Derivative of 3x^2-6x+6

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   2          
3*x  - 6*x + 6
$$3 x^{2} - 6 x + 6$$ 
d /   2          \
--\3*x  - 6*x + 6/
dx
$$\frac{d}{d x} \left(3 x^{2} - 6 x + 6\right)$$
Transform
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. 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:

      So, the result is:

    3. The derivative of the constant is zero.

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-6 + 6*x
$$6 x - 6$$
Simplify
The second derivative [src] 
6
$$6$$
Simplify
The third derivative [src] 
0
$$0$$
Simplify
The graph
Derivative of 3x^2-6x+6
    © Mister Exam – Calculator