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(x+2)^3

Derivative of (x+2)^3

Function f() - derivative -N order at the point
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The solution

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       3
(x + 2) 
(x+2)3\left(x + 2\right)^{3}
d /       3\
--\(x + 2) /
dx          
ddx(x+2)3\frac{d}{d x} \left(x + 2\right)^{3}
Detail solution
  1. Let u=x+2u = x + 2.

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

  3. Then, apply the chain rule. Multiply by ddx(x+2)\frac{d}{d x} \left(x + 2\right):

    1. Differentiate x+2x + 2 term by term:

      1. Apply the power rule: xx goes to 11

      2. The derivative of the constant 22 is zero.

      The result is: 11

    The result of the chain rule is:

    3(x+2)23 \left(x + 2\right)^{2}

  4. Now simplify:

    3(x+2)23 \left(x + 2\right)^{2}


The answer is:

3(x+2)23 \left(x + 2\right)^{2}

The graph
02468-8-6-4-2-1010-25002500
The first derivative [src]
         2
3*(x + 2) 
3(x+2)23 \left(x + 2\right)^{2}
The second derivative [src]
6*(2 + x)
6(x+2)6 \left(x + 2\right)
The third derivative [src]
6
66
The graph
Derivative of (x+2)^3