Mister Exam

Derivative of sqrt(3x+1)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
  _________
\/ 3*x + 1 
3x+1\sqrt{3 x + 1}
The graph
02468-8-6-4-2-1010010
The first derivative [src]
      3      
-------------
    _________
2*\/ 3*x + 1 
323x+1\frac{3}{2 \sqrt{3 x + 1}}
The second derivative [src]
     -9       
--------------
           3/2
4*(1 + 3*x)   
94(3x+1)32- \frac{9}{4 \left(3 x + 1\right)^{\frac{3}{2}}}
The third derivative [src]
      81      
--------------
           5/2
8*(1 + 3*x)   
818(3x+1)52\frac{81}{8 \left(3 x + 1\right)^{\frac{5}{2}}}
The graph
Derivative of sqrt(3x+1)