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arcsin(4x+1)
The derivative of the function/ arcsin(4x+1)

Derivative of arcsin(4x+1)

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

The graph:

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The solution

You have entered [src] 
asin(4*x + 1)
$$\operatorname{asin}{\left(4 x + 1 \right)}$$ 
asin(4*x + 1)
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
         4         
-------------------
   ________________
  /              2 
\/  1 - (4*x + 1)
$$\frac{4}{\sqrt{1 - \left(4 x + 1\right)^{2}}}$$
Simplify
The second derivative [src] 
    16*(1 + 4*x)   
-------------------
                3/2
/             2\   
\1 - (1 + 4*x) /
$$\frac{16 \left(4 x + 1\right)}{\left(1 - \left(4 x + 1\right)^{2}\right)^{\frac{3}{2}}}$$
Simplify
The third derivative [src] 
   /                2 \
   |     3*(1 + 4*x)  |
64*|1 + --------------|
   |                 2|
   \    1 - (1 + 4*x) /
-----------------------
                  3/2  
  /             2\     
  \1 - (1 + 4*x) /
$$\frac{64 \left(1 + \frac{3 \left(4 x + 1\right)^{2}}{1 - \left(4 x + 1\right)^{2}}\right)}{\left(1 - \left(4 x + 1\right)^{2}\right)^{\frac{3}{2}}}$$
Simplify
The graph
Derivative of arcsin(4x+1)
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