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y=arcsinx^2/log2(x)
  • ¿Cómo usar?

  • Derivada de:
  • Derivada de e^x*sin(x) Derivada de e^x*sin(x)
  • Derivada de x!
  • Derivada de e^x*x^3 Derivada de e^x*x^3
  • Derivada de e^x/x^2 Derivada de e^x/x^2
  • Expresiones idénticas

  • y=arcsinx^ dos /log2(x)
  • y es igual a arc seno de x al cuadrado dividir por logaritmo de 2(x)
  • y es igual a arc seno de x en el grado dos dividir por logaritmo de 2(x)
  • y=arcsinx2/log2(x)
  • y=arcsinx2/log2x
  • y=arcsinx²/log2(x)
  • y=arcsinx en el grado 2/log2(x)
  • y=arcsinx^2/log2x
  • y=arcsinx^2 dividir por log2(x)
  • Expresiones con funciones

  • arcsinx
  • arcsinx^3

Derivada de y=arcsinx^2/log2(x)

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

Gráfico:

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Solución

Ha introducido [src]
    2   
asin (x)
--------
/log(x)\
|------|
\log(2)/
$$\frac{\operatorname{asin}^{2}{\left(x \right)}}{\frac{1}{\log{\left(2 \right)}} \log{\left(x \right)}}$$
asin(x)^2/((log(x)/log(2)))
Gráfica
Primera derivada [src]
  log(2)                          
2*------*asin(x)       2          
  log(x)           asin (x)*log(2)
---------------- - ---------------
     ________              2      
    /      2          x*log (x)   
  \/  1 - x                       
$$\frac{2 \frac{\log{\left(2 \right)}}{\log{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}} - \frac{\log{\left(2 \right)} \operatorname{asin}^{2}{\left(x \right)}}{x \log{\left(x \right)}^{2}}$$
Segunda derivada [src]
/                              2    /      2   \                       \       
|                          asin (x)*|1 + ------|                       |       
|     2      2*x*asin(x)            \    log(x)/        4*asin(x)      |       
|- ------- + ----------- + --------------------- - --------------------|*log(2)
|        2           3/2          2                     ________       |       
|  -1 + x    /     2\            x *log(x)             /      2        |       
\            \1 - x /                              x*\/  1 - x  *log(x)/       
-------------------------------------------------------------------------------
                                     log(x)                                    
$$\frac{\left(\frac{2 x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{2}{x^{2} - 1} - \frac{4 \operatorname{asin}{\left(x \right)}}{x \sqrt{1 - x^{2}} \log{\left(x \right)}} + \frac{\left(1 + \frac{2}{\log{\left(x \right)}}\right) \operatorname{asin}^{2}{\left(x \right)}}{x^{2} \log{\left(x \right)}}\right) \log{\left(2 \right)}}{\log{\left(x \right)}}$$
Tercera derivada [src]
  /                             /     1       x*asin(x) \                                                                          \       
  |                           3*|- ------- + -----------|                      2    /      3         3   \                         |       
  |                             |        2           3/2|                  asin (x)*|1 + ------ + -------|     /      2   \        |       
  |                             |  -1 + x    /     2\   |      2                    |    log(x)      2   |   3*|1 + ------|*asin(x)|       
  |  asin(x)        3*x         \            \1 - x /   /   3*x *asin(x)            \             log (x)/     \    log(x)/        |       
2*|----------- + ---------- - --------------------------- + ------------ - ------------------------------- + ----------------------|*log(2)
  |        3/2            2             x*log(x)                    5/2                3                           ________        |       
  |/     2\      /      2\                                  /     2\                  x *log(x)               2   /      2         |       
  \\1 - x /      \-1 + x /                                  \1 - x /                                         x *\/  1 - x  *log(x) /       
-------------------------------------------------------------------------------------------------------------------------------------------
                                                                   log(x)                                                                  
$$\frac{2 \left(\frac{3 x^{2} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{3 x}{\left(x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{3 \left(\frac{x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{1}{x^{2} - 1}\right)}{x \log{\left(x \right)}} + \frac{3 \left(1 + \frac{2}{\log{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}}{x^{2} \sqrt{1 - x^{2}} \log{\left(x \right)}} - \frac{\left(1 + \frac{3}{\log{\left(x \right)}} + \frac{3}{\log{\left(x \right)}^{2}}\right) \operatorname{asin}^{2}{\left(x \right)}}{x^{3} \log{\left(x \right)}}\right) \log{\left(2 \right)}}{\log{\left(x \right)}}$$
Gráfico
Derivada de y=arcsinx^2/log2(x)