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(x-1)^5
The derivative of the function/ (x-1)^5

Derivative of (x-1)^5

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
       5
(x - 1)
$$\left(x - 1\right)^{5}$$ 
d /       5\
--\(x - 1) /
dx
$$\frac{d}{d x} \left(x - 1\right)^{5}$$
Transform
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
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
         4
5*(x - 1)
$$5 \left(x - 1\right)^{4}$$
Simplify
The second derivative [src] 
           3
20*(-1 + x)
$$20 \left(x - 1\right)^{3}$$
Simplify
The third derivative [src] 
           2
60*(-1 + x)
$$60 \left(x - 1\right)^{2}$$
Simplify
The graph
Derivative of (x-1)^5
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