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  • Identical expressions

  • sqrt(x^ two - nine)- three *atan(sqrt(x^ two - nine)/ three)
  • square root of (x squared minus 9) minus 3 multiply by arc tangent of gent of ( square root of (x squared minus 9) divide by 3)
  • square root of (x to the power of two minus nine) minus three multiply by arc tangent of gent of ( square root of (x to the power of two minus nine) divide by three)
  • √(x^2-9)-3*atan(√(x^2-9)/3)
  • sqrt(x2-9)-3*atan(sqrt(x2-9)/3)
  • sqrtx2-9-3*atansqrtx2-9/3
  • sqrt(x²-9)-3*atan(sqrt(x²-9)/3)
  • sqrt(x to the power of 2-9)-3*atan(sqrt(x to the power of 2-9)/3)
  • sqrt(x^2-9)-3atan(sqrt(x^2-9)/3)
  • sqrt(x2-9)-3atan(sqrt(x2-9)/3)
  • sqrtx2-9-3atansqrtx2-9/3
  • sqrtx^2-9-3atansqrtx^2-9/3
  • sqrt(x^2-9)-3*atan(sqrt(x^2-9) divide by 3)

  • Similar expressions

  • sqrt(x^2-9)-3*atan(sqrt(x^2+9)/3)
  • sqrt(x^2+9)-3*atan(sqrt(x^2-9)/3)
  • sqrt(x^2-9)+3*atan(sqrt(x^2-9)/3)
  • sqrt(x^2-9)-3*arctan(sqrt(x^2-9)/3)
The derivative of the function/ sqrt(x^2-9)-3*atan(sqrt(x^2-9)/3)

Derivative of sqrt(x^2-9)-3*atan(sqrt(x^2-9)/3)

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

The graph:

from to

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The solution

You have entered [src] 
                    /   ________\
   ________         |  /  2     |
  /  2              |\/  x  - 9 |
\/  x  - 9  - 3*atan|-----------|
                    \     3     /
$$\sqrt{x^{2} - 9} - 3 \operatorname{atan}{\left(\frac{\sqrt{x^{2} - 9}}{3} \right)}$$ 
sqrt(x^2 - 9) - 3*atan(sqrt(x^2 - 9)/3)
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     x              9      
----------- - -------------
   ________        ________
  /  2            /  2     
\/  x  - 9    x*\/  x  - 9
$$\frac{x}{\sqrt{x^{2} - 9}} - \frac{9}{x \sqrt{x^{2} - 9}}$$
Simplify
The second derivative [src] 
                       2  
    9       9         x   
1 + -- + ------- - -------
     2         2         2
    x    -9 + x    -9 + x 
--------------------------
          _________       
         /       2        
       \/  -9 + x
$$\frac{- \frac{x^{2}}{x^{2} - 9} + 1 + \frac{9}{x^{2} - 9} + \frac{9}{x^{2}}}{\sqrt{x^{2} - 9}}$$
Simplify
The third derivative [src] 
  /            3                                         \
  |  6        x           x         9*x            3     |
3*|- -- + ---------- - ------- - ---------- - -----------|
  |   3            2         2            2     /      2\|
  |  x    /      2\    -9 + x    /      2\    x*\-9 + x /|
  \       \-9 + x /              \-9 + x /               /
----------------------------------------------------------
                          _________                       
                         /       2                        
                       \/  -9 + x
$$\frac{3 \left(\frac{x^{3}}{\left(x^{2} - 9\right)^{2}} - \frac{x}{x^{2} - 9} - \frac{9 x}{\left(x^{2} - 9\right)^{2}} - \frac{3}{x \left(x^{2} - 9\right)} - \frac{6}{x^{3}}\right)}{\sqrt{x^{2} - 9}}$$
Simplify
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