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(x-2)^4

Derivative of (x-2)^4

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
       4
(x - 2) 
$$\left(x - 2\right)^{4}$$
(x - 2)^4
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:

  4. Now simplify:


The answer is:

The graph
The first derivative [src]
         3
4*(x - 2) 
$$4 \left(x - 2\right)^{3}$$
The second derivative [src]
           2
12*(-2 + x) 
$$12 \left(x - 2\right)^{2}$$
The third derivative [src]
24*(-2 + x)
$$24 \left(x - 2\right)$$
The graph
Derivative of (x-2)^4