Sr Examen

Otras calculadoras

y=√arcsin(1/x^2)
Derivada de la función/ 1/x^2/ arcsin/ y=√arcsin(1/x^2)

Derivada de y=√arcsin(1/x^2)

Función f() - derivada -er orden en el punto
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
     __________
    /     /1 \ 
   /  asin|--| 
  /       | 2| 
\/        \x /
asin⁡(1x2)\sqrt{\operatorname{asin}{\left(\frac{1}{x^{2}} \right)}} 
sqrt(asin(1/(x^2)))
Gráfica
02468-8-6-4-2-10102.5-2.5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
              -1                
--------------------------------
        ________      __________
 3     /     1       /     /1 \ 
x *   /  1 - -- *   /  asin|--| 
     /        4    /       | 2| 
   \/        x   \/        \x /
−1x31−1x4asin⁡(1x2)- \frac{1}{x^{3} \sqrt{1 - \frac{1}{x^{4}}} \sqrt{\operatorname{asin}{\left(\frac{1}{x^{2}} \right)}}}
Simplificar
Segunda derivada [src] 
      3               2                   1          
------------- + -------------- - --------------------
     ________              3/2    2 /    1 \     /1 \
    /     1      4 /    1 \      x *|1 - --|*asin|--|
   /  1 - --    x *|1 - --|         |     4|     | 2|
  /        4       |     4|         \    x /     \x /
\/        x        \    x /                          
-----------------------------------------------------
                          __________                 
                   4     /     /1 \                  
                  x *   /  asin|--|                  
                       /       | 2|                  
                     \/        \x /
31−1x4−1x2(1−1x4)asin⁡(1x2)+2x4(1−1x4)32x4asin⁡(1x2)\frac{\frac{3}{\sqrt{1 - \frac{1}{x^{4}}}} - \frac{1}{x^{2} \left(1 - \frac{1}{x^{4}}\right) \operatorname{asin}{\left(\frac{1}{x^{2}} \right)}} + \frac{2}{x^{4} \left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{2}}}}{x^{4} \sqrt{\operatorname{asin}{\left(\frac{1}{x^{2}} \right)}}}
Simplificar
Tercera derivada [src] 
        12              22               12                    3                         6                      9          
- ------------- - -------------- - -------------- - ------------------------ + --------------------- + --------------------
       ________              3/2              5/2              3/2                        2             2 /    1 \     /1 \
      /     1      4 /    1 \       8 /    1 \       4 /    1 \        2/1 \    6 /    1 \      /1 \   x *|1 - --|*asin|--|
     /  1 - --    x *|1 - --|      x *|1 - --|      x *|1 - --|   *asin |--|   x *|1 - --| *asin|--|      |     4|     | 2|
    /        4       |     4|         |     4|         |     4|         | 2|      |     4|      | 2|      \    x /     \x /
  \/        x        \    x /         \    x /         \    x /         \x /      \    x /      \x /                       
---------------------------------------------------------------------------------------------------------------------------
                                                             __________                                                    
                                                      5     /     /1 \                                                     
                                                     x *   /  asin|--|                                                     
                                                          /       | 2|                                                     
                                                        \/        \x /
−121−1x4+9x2(1−1x4)asin⁡(1x2)−22x4(1−1x4)32−3x4(1−1x4)32asin⁡2(1x2)+6x6(1−1x4)2asin⁡(1x2)−12x8(1−1x4)52x5asin⁡(1x2)\frac{- \frac{12}{\sqrt{1 - \frac{1}{x^{4}}}} + \frac{9}{x^{2} \left(1 - \frac{1}{x^{4}}\right) \operatorname{asin}{\left(\frac{1}{x^{2}} \right)}} - \frac{22}{x^{4} \left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{2}}} - \frac{3}{x^{4} \left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(\frac{1}{x^{2}} \right)}} + \frac{6}{x^{6} \left(1 - \frac{1}{x^{4}}\right)^{2} \operatorname{asin}{\left(\frac{1}{x^{2}} \right)}} - \frac{12}{x^{8} \left(1 - \frac{1}{x^{4}}\right)^{\frac{5}{2}}}}{x^{5} \sqrt{\operatorname{asin}{\left(\frac{1}{x^{2}} \right)}}}
Simplificar
Gráfico
Derivada de y=√arcsin(1/x^2)
    © Sr Examen – Калькулятор