Derivative of sqrt(3x+1)

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  _________
\/ 3*x + 1

$$\sqrt{3 x + 1}$$

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The first derivative [src]

      3      
-------------
    _________
2*\/ 3*x + 1

$$\frac{3}{2 \sqrt{3 x + 1}}$$

Simplify

The second derivative [src]

     -9       
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           3/2
4*(1 + 3*x)

$$- \frac{9}{4 \left(3 x + 1\right)^{\frac{3}{2}}}$$

Simplify

The third derivative [src]

      81      
--------------
           5/2
8*(1 + 3*x)

$$\frac{81}{8 \left(3 x + 1\right)^{\frac{5}{2}}}$$

Simplify

The graph