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  • Identical expressions

  • (sqrt(five)*asin((sqrt(ten)*x)/ two)/ five)
  • ( square root of (5) multiply by arc sinus of e of (( square root of (10) multiply by x) divide by 2) divide by 5)
  • ( square root of (five) multiply by arc sinus of e of (( square root of (ten) multiply by x) divide by two) divide by five)
  • (√(5)*asin((√(10)*x)/2)/5)
  • (sqrt(5)asin((sqrt(10)x)/2)/5)
  • sqrt5asinsqrt10x/2/5
  • (sqrt(5)*asin((sqrt(10)*x) divide by 2) divide by 5)

  • Similar expressions

  • (sqrt(5)*arcsin((sqrt(10)*x)/2)/5)
The derivative of the function/ (sqrt(5)*asin((sqrt(10)*x)/2)/5)

Derivative of (sqrt(5)*asin((sqrt(10)*x)/2)/5)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
          /  ____  \
  ___     |\/ 10 *x|
\/ 5 *asin|--------|
          \   2    /
--------------------
         5
$$\frac{\sqrt{5} \operatorname{asin}{\left(\frac{\sqrt{10} x}{2} \right)}}{5}$$ 
(sqrt(5)*asin((sqrt(10)*x)/2))/5
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
        ___      
      \/ 2       
-----------------
       __________
      /        2 
     /      5*x  
2*  /   1 - ---- 
  \/         2
$$\frac{\sqrt{2}}{2 \sqrt{1 - \frac{5 x^{2}}{2}}}$$
Simplify
The second derivative [src] 
         ___   
   5*x*\/ 2    
---------------
            3/2
  /       2\   
  |    5*x |   
4*|1 - ----|   
  \     2  /
$$\frac{5 \sqrt{2} x}{4 \left(1 - \frac{5 x^{2}}{2}\right)^{\frac{3}{2}}}$$
Simplify
The third derivative [src] 
         /           2  \
     ___ |       15*x   |
-5*\/ 2 *|-1 + ---------|
         |             2|
         \     -2 + 5*x /
-------------------------
                 3/2     
       /       2\        
       |    5*x |        
     4*|1 - ----|        
       \     2  /
$$- \frac{5 \sqrt{2} \left(\frac{15 x^{2}}{5 x^{2} - 2} - 1\right)}{4 \left(1 - \frac{5 x^{2}}{2}\right)^{\frac{3}{2}}}$$
Simplify
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