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y=tg(2arccossqrt(1-2*x^2))

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  • Derivada de:
  • Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7) Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
  • Derivada de 1/(x+3) Derivada de 1/(x+3)
  • Derivada de x/a
  • Derivada de 1/x^(1/2) Derivada de 1/x^(1/2)

  • Expresiones idénticas

  • y=tg(dos arccossqrt(uno - dos *x^2))
  • y es igual a tg(2arc coseno de raíz cuadrada de (1 menos 2 multiplicar por x al cuadrado ))
  • y es igual a tg(dos arc coseno de raíz cuadrada de (uno menos dos multiplicar por x al cuadrado ))
  • y=tg(2arccos√(1-2*x^2))
  • y=tg(2arccossqrt(1-2*x2))
  • y=tg2arccossqrt1-2*x2
  • y=tg(2arccossqrt(1-2*x²))
  • y=tg(2arccossqrt(1-2*x en el grado 2))
  • y=tg(2arccossqrt(1-2x^2))
  • y=tg(2arccossqrt(1-2x2))
  • y=tg2arccossqrt1-2x2
  • y=tg2arccossqrt1-2x^2

  • Expresiones semejantes

  • y=tg(2arccossqrt(1+2*x^2))
Derivada de la función/ 2*x^2/ 1-2*x/ arccos/ y=tg(2arccossqrt(1-2*x^2))

Derivada de y=tg(2arccossqrt(1-2*x^2))

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

Gráfico:

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Solución

Ha introducido [src] 
   /      /   __________\\
   |      |  /        2 ||
tan\2*acos\\/  1 - 2*x  //
tan⁡(2acos⁡(1−2x2))\tan{\left(2 \operatorname{acos}{\left(\sqrt{1 - 2 x^{2}} \right)} \right)} 
tan(2*acos(sqrt(1 - 2*x^2)))
Gráfica
02468-8-6-4-2-1010-2000020000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
          /        /      /   __________\\\
      ___ |       2|      |  /        2 |||
2*x*\/ 2 *\1 + tan \2*acos\\/  1 - 2*x  ///
-------------------------------------------
                __________                 
               /        2                  
             \/  1 - 2*x  *|x|
22x(tan⁡2(2acos⁡(1−2x2))+1)1−2x2∣x∣\frac{2 \sqrt{2} x \left(\tan^{2}{\left(2 \operatorname{acos}{\left(\sqrt{1 - 2 x^{2}} \right)} \right)} + 1\right)}{\sqrt{1 - 2 x^{2}} \left|{x}\right|}
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Segunda derivada [src] 
                                    /       /      /   __________\\                                                          \
  /        /      /   __________\\\ |       |      |  /        2 ||           ___            ___                    ___  2   |
  |       2|      |  /        2 ||| |  8*tan\2*acos\\/  1 - 2*x  //         \/ 2           \/ 2 *sign(x)        2*\/ 2 *x    |
2*\1 + tan \2*acos\\/  1 - 2*x  ///*|- ---------------------------- + ----------------- - --------------- + -----------------|
                                    |                   2                __________            __________             3/2    |
                                    |           -1 + 2*x                /        2            /        2    /       2\       |
                                    \                                 \/  1 - 2*x  *|x|   x*\/  1 - 2*x     \1 - 2*x /   *|x|/
2(tan⁡2(2acos⁡(1−2x2))+1)(22x2(1−2x2)32∣x∣−8tan⁡(2acos⁡(1−2x2))2x2−1+21−2x2∣x∣−2sign⁡(x)x1−2x2)2 \left(\tan^{2}{\left(2 \operatorname{acos}{\left(\sqrt{1 - 2 x^{2}} \right)} \right)} + 1\right) \left(\frac{2 \sqrt{2} x^{2}}{\left(1 - 2 x^{2}\right)^{\frac{3}{2}} \left|{x}\right|} - \frac{8 \tan{\left(2 \operatorname{acos}{\left(\sqrt{1 - 2 x^{2}} \right)} \right)}}{2 x^{2} - 1} + \frac{\sqrt{2}}{\sqrt{1 - 2 x^{2}} \left|{x}\right|} - \frac{\sqrt{2} \operatorname{sign}{\left(x \right)}}{x \sqrt{1 - 2 x^{2}}}\right)
Simplificar
Tercera derivada [src] 
                                    /       /      /   __________\\                             /      /   __________\\                                                          /      /   __________\\                                 /        /      /   __________\\\                  /      /   __________\\\
  /        /      /   __________\\\ |       |      |  /        2 ||       ___                   |      |  /        2 ||     ___                           ___                    |      |  /        2 ||           ___  3            ___ |       2|      |  /        2 |||          ___    2|      |  /        2 |||
  |       2|      |  /        2 ||| |  4*tan\2*acos\\/  1 - 2*x  //   2*\/ 2 *sign(x)   24*x*tan\2*acos\\/  1 - 2*x  //   \/ 2 *DiracDelta(x)       3*x*\/ 2        4*sign(x)*tan\2*acos\\/  1 - 2*x  //       6*\/ 2 *x       8*x*\/ 2 *\1 + tan \2*acos\\/  1 - 2*x  ///   16*x*\/ 2 *tan \2*acos\\/  1 - 2*x  //|
4*\1 + tan \2*acos\\/  1 - 2*x  ///*|- ---------------------------- - --------------- + ------------------------------- - ------------------- + ----------------- + ------------------------------------ + ----------------- + ------------------------------------------- + --------------------------------------|
                                    |           /        2\                      3/2                         2                   __________               3/2                 /        2\                            5/2                              3/2                                        3/2               |
                                    |         x*\-1 + 2*x /            /       2\                 /        2\                   /        2      /       2\                    \-1 + 2*x /*|x|              /       2\                       /       2\                                 /       2\                  |
                                    \                                  \1 - 2*x /                 \-1 + 2*x /               x*\/  1 - 2*x       \1 - 2*x /   *|x|                                          \1 - 2*x /   *|x|                \1 - 2*x /   *|x|                          \1 - 2*x /   *|x|           /
4(tan⁡2(2acos⁡(1−2x2))+1)(62x3(1−2x2)52∣x∣+24xtan⁡(2acos⁡(1−2x2))(2x2−1)2+82x(tan⁡2(2acos⁡(1−2x2))+1)(1−2x2)32∣x∣+162xtan⁡2(2acos⁡(1−2x2))(1−2x2)32∣x∣+32x(1−2x2)32∣x∣+4tan⁡(2acos⁡(1−2x2))sign⁡(x)(2x2−1)∣x∣−22sign⁡(x)(1−2x2)32−4tan⁡(2acos⁡(1−2x2))x(2x2−1)−2δ(x)x1−2x2)4 \left(\tan^{2}{\left(2 \operatorname{acos}{\left(\sqrt{1 - 2 x^{2}} \right)} \right)} + 1\right) \left(\frac{6 \sqrt{2} x^{3}}{\left(1 - 2 x^{2}\right)^{\frac{5}{2}} \left|{x}\right|} + \frac{24 x \tan{\left(2 \operatorname{acos}{\left(\sqrt{1 - 2 x^{2}} \right)} \right)}}{\left(2 x^{2} - 1\right)^{2}} + \frac{8 \sqrt{2} x \left(\tan^{2}{\left(2 \operatorname{acos}{\left(\sqrt{1 - 2 x^{2}} \right)} \right)} + 1\right)}{\left(1 - 2 x^{2}\right)^{\frac{3}{2}} \left|{x}\right|} + \frac{16 \sqrt{2} x \tan^{2}{\left(2 \operatorname{acos}{\left(\sqrt{1 - 2 x^{2}} \right)} \right)}}{\left(1 - 2 x^{2}\right)^{\frac{3}{2}} \left|{x}\right|} + \frac{3 \sqrt{2} x}{\left(1 - 2 x^{2}\right)^{\frac{3}{2}} \left|{x}\right|} + \frac{4 \tan{\left(2 \operatorname{acos}{\left(\sqrt{1 - 2 x^{2}} \right)} \right)} \operatorname{sign}{\left(x \right)}}{\left(2 x^{2} - 1\right) \left|{x}\right|} - \frac{2 \sqrt{2} \operatorname{sign}{\left(x \right)}}{\left(1 - 2 x^{2}\right)^{\frac{3}{2}}} - \frac{4 \tan{\left(2 \operatorname{acos}{\left(\sqrt{1 - 2 x^{2}} \right)} \right)}}{x \left(2 x^{2} - 1\right)} - \frac{\sqrt{2} \delta\left(x\right)}{x \sqrt{1 - 2 x^{2}}}\right)
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Gráfico
Derivada de y=tg(2arccossqrt(1-2*x^2))
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