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

Derivative of arcsinsqrt(1-3x)

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

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The solution

You have entered [src] 
    /  _________\
asin\\/ 1 - 3*x /
$$\operatorname{asin}{\left(\sqrt{1 - 3 x} \right)}$$ 
asin(sqrt(1 - 3*x))
The graph
Plot the graph f(x)
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The first derivative [src] 
         ___       
      -\/ 3        
-------------------
    ___   _________
2*\/ x *\/ 1 - 3*x
$$- \frac{\sqrt{3}}{2 \sqrt{x} \sqrt{1 - 3 x}}$$
Simplify
The second derivative [src] 
  ___ /1      3   \
\/ 3 *|- - -------|
      \x   1 - 3*x/
-------------------
    ___   _________
4*\/ x *\/ 1 - 3*x
$$\frac{\sqrt{3} \left(- \frac{3}{1 - 3 x} + \frac{1}{x}\right)}{4 \sqrt{x} \sqrt{1 - 3 x}}$$
Simplify
The third derivative [src] 
    ___ /  1        9             2     \
3*\/ 3 *|- -- - ---------- + -----------|
        |   2            2   x*(1 - 3*x)|
        \  x    (1 - 3*x)               /
-----------------------------------------
               ___   _________           
           8*\/ x *\/ 1 - 3*x
$$\frac{3 \sqrt{3} \left(- \frac{9}{\left(1 - 3 x\right)^{2}} + \frac{2}{x \left(1 - 3 x\right)} - \frac{1}{x^{2}}\right)}{8 \sqrt{x} \sqrt{1 - 3 x}}$$
Simplify
The graph
Derivative of arcsinsqrt(1-3x)
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