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(x-1)^3
The derivative of the function/ (x-1)^3

Derivative of (x-1)^3

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

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The solution

You have entered [src] 
       3
(x - 1)
(x−1)3\left(x - 1\right)^{3} 
(x - 1)^3
Detail solution

  1. Let u=x−1u = x - 1.

  2. Apply the power rule: u3u^{3} goes to 3u23 u^{2}

  3. Then, apply the chain rule. Multiply by ddx(x−1)\frac{d}{d x} \left(x - 1\right):

    1. Differentiate x−1x - 1 term by term:

      1. Apply the power rule: xx goes to 11

      2. The derivative of the constant −1-1 is zero.

      The result is: 11

    The result of the chain rule is:

    3(x−1)23 \left(x - 1\right)^{2}

  4. Now simplify:

    3(x−1)23 \left(x - 1\right)^{2}

The answer is:

3(x−1)23 \left(x - 1\right)^{2}

The graph
02468-8-6-4-2-1010-20002000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
         2
3*(x - 1)
3(x−1)23 \left(x - 1\right)^{2}
Simplify
The second derivative [src] 
6*(-1 + x)
6(x−1)6 \left(x - 1\right)
Simplify
The third derivative [src] 
6
66
Simplify
The graph
Derivative of (x-1)^3
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