Mister Exam

Derivative of (x-2)²

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
       2
(x - 2) 
$$\left(x - 2\right)^{2}$$
(x - 2)^2
Detail solution
  1. Let .

  2. Apply the power rule: goes to

  3. Then, apply the chain rule. Multiply by :

    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 of the chain rule is:


The answer is:

The graph
The first derivative [src]
-4 + 2*x
$$2 x - 4$$
The second derivative [src]
2
$$2$$
The third derivative [src]
0
$$0$$
The graph
Derivative of (x-2)²