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  • Derivada de:
  • Derivada de 4/x Derivada de 4/x
  • Derivada de 4^x Derivada de 4^x
  • Derivada de (x-1)/(x+1) Derivada de (x-1)/(x+1)
  • Derivada de x^-1 Derivada de x^-1

  • Expresiones idénticas

  • аsin(x− tres)^ dos /(x− tres)^ dos −asinx/|x|
  • а seno de (x−3) al cuadrado dividir por (x−3) al cuadrado − ar coseno de eno de x dividir por módulo de x|
  • а seno de (x− tres) en el grado dos dividir por (x− tres) en el grado dos − ar coseno de eno de x dividir por módulo de x|
  • аsin(x−3)2/(x−3)2−asinx/|x|
  • аsinx−32/x−32−asinx/|x|
  • аsin(x−3)²/(x−3)²−asinx/|x|
  • аsin(x−3) en el grado 2/(x−3) en el grado 2−asinx/|x|
  • аsinx−3^2/x−3^2−asinx/|x|
  • аsin(x−3)^2 dividir por (x−3)^2−asinx dividir por |x|

  • Expresiones con funciones

  • Módulo |
  • |x^2-2x|
  • |x|*(x+1)
  • |z−3i|
  • |y+1|
  • |x|/ln(|x|)
Derivada de la función/ аsin(x−3)^2/(x−3)^2−asinx/|x|

Derivada de аsin(x−3)^2/(x−3)^2−asinx/|x|

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
    2                 
asin (x - 3)   asin(x)
------------ - -------
         2       |x|  
  (x - 3)
−asin⁡(x)∣x∣+asin⁡2(x−3)(x−3)2- \frac{\operatorname{asin}{\left(x \right)}}{\left|{x}\right|} + \frac{\operatorname{asin}^{2}{\left(x - 3 \right)}}{\left(x - 3\right)^{2}} 
asin(x - 3)^2/(x - 3)^2 - asin(x)/|x|
Primera derivada [src] 
                                          2                                              
         1          asin(x)*sign(x)   asin (x - 3)*(6 - 2*x)         2*asin(x - 3)       
- --------------- + --------------- + ---------------------- + --------------------------
     ________               2                       4             ______________         
    /      2               x                 (x - 3)             /            2         2
  \/  1 - x  *|x|                                              \/  1 - (x - 3)  *(x - 3)
(6−2x)asin⁡2(x−3)(x−3)4+2asin⁡(x−3)1−(x−3)2(x−3)2−11−x2∣x∣+asin⁡(x)sign⁡(x)x2\frac{\left(6 - 2 x\right) \operatorname{asin}^{2}{\left(x - 3 \right)}}{\left(x - 3\right)^{4}} + \frac{2 \operatorname{asin}{\left(x - 3 \right)}}{\sqrt{1 - \left(x - 3\right)^{2}} \left(x - 3\right)^{2}} - \frac{1}{\sqrt{1 - x^{2}} \left|{x}\right|} + \frac{\operatorname{asin}{\left(x \right)} \operatorname{sign}{\left(x \right)}}{x^{2}}
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Segunda derivada [src] 
                                     2                                                                                                                                                      
              2                6*asin (-3 + x)          x                 8*asin(-3 + x)          2*asin(x)*sign(x)     2*sign(x)      2*DiracDelta(x)*asin(x)          2*asin(-3 + x)      
- -------------------------- + --------------- - --------------- - ---------------------------- - ----------------- + -------------- + ----------------------- + ---------------------------
  /             2\         2              4              3/2          _______________                      3                ________               2                            3/2         
  \-1 + (-3 + x) /*(-3 + x)       (-3 + x)       /     2\            /             2          3           x            2   /      2               x              /            2\            
                                                 \1 - x /   *|x|   \/  1 - (-3 + x)  *(-3 + x)                        x *\/  1 - x                               \1 - (-3 + x) /   *(-3 + x)
−x(1−x2)32∣x∣−2(x−3)2((x−3)2−1)+6asin⁡2(x−3)(x−3)4−8asin⁡(x−3)1−(x−3)2(x−3)3+2asin⁡(x−3)(1−(x−3)2)32(x−3)+2δ(x)asin⁡(x)x2+2sign⁡(x)x21−x2−2asin⁡(x)sign⁡(x)x3- \frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left|{x}\right|} - \frac{2}{\left(x - 3\right)^{2} \left(\left(x - 3\right)^{2} - 1\right)} + \frac{6 \operatorname{asin}^{2}{\left(x - 3 \right)}}{\left(x - 3\right)^{4}} - \frac{8 \operatorname{asin}{\left(x - 3 \right)}}{\sqrt{1 - \left(x - 3\right)^{2}} \left(x - 3\right)^{3}} + \frac{2 \operatorname{asin}{\left(x - 3 \right)}}{\left(1 - \left(x - 3\right)^{2}\right)^{\frac{3}{2}} \left(x - 3\right)} + \frac{2 \delta\left(x\right) \operatorname{asin}{\left(x \right)}}{x^{2}} + \frac{2 \operatorname{sign}{\left(x \right)}}{x^{2} \sqrt{1 - x^{2}}} - \frac{2 \operatorname{asin}{\left(x \right)} \operatorname{sign}{\left(x \right)}}{x^{3}}
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Tercera derivada [src] 
                           2                                                                                                                                                                             2                                                                                                                       
         1          24*asin (-3 + x)     6*asin(-3 + x)                 6                            12                     10*asin(-3 + x)          8*DiracDelta(x)*asin(x)     6*sign(x)            3*x         2*DiracDelta(x, 1)*asin(x)     3*sign(x)     6*asin(x)*sign(x)   6*DiracDelta(x)         36*asin(-3 + x)       
- --------------- - ---------------- + ------------------ + -------------------------- + -------------------------- - ---------------------------- - ----------------------- - -------------- - --------------- + -------------------------- + ------------- + ----------------- + --------------- + ----------------------------
          3/2                  5                      5/2                   2            /             2\         3                  3/2                         3                   ________           5/2                    2                         3/2            4                 ________      _______________          
  /     2\             (-3 + x)        /            2\      /             2\             \-1 + (-3 + x) /*(-3 + x)    /            2\            2              x               3   /      2    /     2\                      x                  /     2\              x             2   /      2      /             2          4
  \1 - x /   *|x|                      \1 - (-3 + x) /      \-1 + (-3 + x) / *(-3 + x)                                \1 - (-3 + x) /   *(-3 + x)                              x *\/  1 - x     \1 - x /   *|x|                                x*\1 - x /                           x *\/  1 - x     \/  1 - (-3 + x)  *(-3 + x)
−3x2(1−x2)52∣x∣+6(x−3)((x−3)2−1)2+12(x−3)3((x−3)2−1)−24asin⁡2(x−3)(x−3)5+36asin⁡(x−3)1−(x−3)2(x−3)4−10asin⁡(x−3)(1−(x−3)2)32(x−3)2+6asin⁡(x−3)(1−(x−3)2)52−1(1−x2)32∣x∣+3sign⁡(x)x(1−x2)32+2δ(1)(x)asin⁡(x)x2+6δ(x)x21−x2−8δ(x)asin⁡(x)x3−6sign⁡(x)x31−x2+6asin⁡(x)sign⁡(x)x4- \frac{3 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}} \left|{x}\right|} + \frac{6}{\left(x - 3\right) \left(\left(x - 3\right)^{2} - 1\right)^{2}} + \frac{12}{\left(x - 3\right)^{3} \left(\left(x - 3\right)^{2} - 1\right)} - \frac{24 \operatorname{asin}^{2}{\left(x - 3 \right)}}{\left(x - 3\right)^{5}} + \frac{36 \operatorname{asin}{\left(x - 3 \right)}}{\sqrt{1 - \left(x - 3\right)^{2}} \left(x - 3\right)^{4}} - \frac{10 \operatorname{asin}{\left(x - 3 \right)}}{\left(1 - \left(x - 3\right)^{2}\right)^{\frac{3}{2}} \left(x - 3\right)^{2}} + \frac{6 \operatorname{asin}{\left(x - 3 \right)}}{\left(1 - \left(x - 3\right)^{2}\right)^{\frac{5}{2}}} - \frac{1}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left|{x}\right|} + \frac{3 \operatorname{sign}{\left(x \right)}}{x \left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2 \delta^{\left( 1 \right)}\left( x \right) \operatorname{asin}{\left(x \right)}}{x^{2}} + \frac{6 \delta\left(x\right)}{x^{2} \sqrt{1 - x^{2}}} - \frac{8 \delta\left(x\right) \operatorname{asin}{\left(x \right)}}{x^{3}} - \frac{6 \operatorname{sign}{\left(x \right)}}{x^{3} \sqrt{1 - x^{2}}} + \frac{6 \operatorname{asin}{\left(x \right)} \operatorname{sign}{\left(x \right)}}{x^{4}}
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