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Derivada de:
Derivada de sec(x)
Derivada de 2cos2x
Derivada de log(cos(2*x))
Derivada de (x^6-7)
Expresiones idénticas
y=sqrt((uno -cos(x))/(uno +cos(x^ dos)))
y es igual a raíz cuadrada de ((1 menos coseno de (x)) dividir por (1 más coseno de (x al cuadrado )))
y es igual a raíz cuadrada de ((uno menos coseno de (x)) dividir por (uno más coseno de (x en el grado dos)))
y=√((1-cos(x))/(1+cos(x^2)))
y=sqrt((1-cos(x))/(1+cos(x2)))
y=sqrt1-cosx/1+cosx2
y=sqrt((1-cos(x))/(1+cos(x²)))
y=sqrt((1-cos(x))/(1+cos(x en el grado 2)))
y=sqrt1-cosx/1+cosx^2
y=sqrt((1-cos(x)) dividir por (1+cos(x^2)))
Expresiones semejantes
y=sqrt((1+cos(x))/(1+cos(x^2)))
y=sqrt((1-cos(x))/(1-cos(x^2)))
y=sqrt((1-cosx)/(1+cos(x^2)))
Expresiones con funciones
Raíz cuadrada sqrt
sqrt(log(x))
sqrt(cos(x))
sqrt(x^2+2)
sqrt(1-x)
sqrt(x)*sin(x)
Coseno cos
cos^2(t)
cos(x-pi/6)
cos2x^2
cosx*lnx
cos(x)^(2)-sin(x)^(2)
Coseno cos
cos^2(t)
cos(x-pi/6)
cos2x^2
cosx*lnx
cos(x)^(2)-sin(x)^(2)

Derivada de la función/ y=sqrt((1-cos(x))/(1+cos(x^2)))

Derivada de y=sqrt((1-cos(x))/(1+cos(x^2)))

Solución

Ha introducido [src]

     _____________
    /  1 - cos(x) 
   /  ----------- 
  /          / 2\ 
\/    1 + cos\x /

$$\sqrt{\frac{1 - \cos{\left(x \right)}}{\cos{\left(x^{2} \right)} + 1}}$$

sqrt((1 - cos(x))/(1 + cos(x^2)))

Solución detallada

Sustituimos $u = \frac{1 - \cos{\left(x \right)}}{\cos{\left(x^{2} \right)} + 1}$ .
Según el principio, aplicamos: $\sqrt{u}$ tenemos $\frac{1}{2 \sqrt{u}}$
Luego se aplica una cadena de reglas. Multiplicamos por $\frac{d}{d x} \frac{1 - \cos{\left(x \right)}}{\cos{\left(x^{2} \right)} + 1}$ :
1. Se aplica la regla de la derivada parcial:
  
  $\frac{d}{d x} \frac{f{\left(x \right)}}{g{\left(x \right)}} = \frac{- f{\left(x \right)} \frac{d}{d x} g{\left(x \right)} + g{\left(x \right)} \frac{d}{d x} f{\left(x \right)}}{g^{2}{\left(x \right)}}$
  
  $f{\left(x \right)} = 1 - \cos{\left(x \right)}$ y $g{\left(x \right)} = \cos{\left(x^{2} \right)} + 1$ .
  
  Para calcular $\frac{d}{d x} f{\left(x \right)}$ :
  1. diferenciamos $1 - \cos{\left(x \right)}$ miembro por miembro:
    1. La derivada de una constante $1$ es igual a cero.
    2. La derivada del producto de una constante por función es igual al producto de esta constante por la derivada de esta función.
      1. La derivada del coseno es igual a menos el seno:
        
        $\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}$
      Entonces, como resultado: $\sin{\left(x \right)}$
    Como resultado de: $\sin{\left(x \right)}$
  Para calcular $\frac{d}{d x} g{\left(x \right)}$ :
  1. diferenciamos $\cos{\left(x^{2} \right)} + 1$ miembro por miembro:
    1. La derivada de una constante $1$ es igual a cero.
    2. Sustituimos $u = x^{2}$ .
    3. La derivada del coseno es igual a menos el seno:
      
      $\frac{d}{d u} \cos{\left(u \right)} = - \sin{\left(u \right)}$
    4. Luego se aplica una cadena de reglas. Multiplicamos por $\frac{d}{d x} x^{2}$ :
      1. Según el principio, aplicamos: $x^{2}$ tenemos $2 x$
      Como resultado de la secuencia de reglas:
      
      $- 2 x \sin{\left(x^{2} \right)}$
    Como resultado de: $- 2 x \sin{\left(x^{2} \right)}$
  Ahora aplicamos la regla de la derivada de una divesión:
  
  $\frac{2 x \left(1 - \cos{\left(x \right)}\right) \sin{\left(x^{2} \right)} + \left(\cos{\left(x^{2} \right)} + 1\right) \sin{\left(x \right)}}{\left(\cos{\left(x^{2} \right)} + 1\right)^{2}}$
Como resultado de la secuencia de reglas:

$\frac{2 x \left(1 - \cos{\left(x \right)}\right) \sin{\left(x^{2} \right)} + \left(\cos{\left(x^{2} \right)} + 1\right) \sin{\left(x \right)}}{2 \sqrt{\frac{1 - \cos{\left(x \right)}}{\cos{\left(x^{2} \right)} + 1}} \left(\cos{\left(x^{2} \right)} + 1\right)^{2}}$
Simplificamos:

$\frac{- x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)} + \frac{\left(\cos{\left(x^{2} \right)} + 1\right) \sin{\left(x \right)}}{2}}{\sqrt{\frac{1 - \cos{\left(x \right)}}{\cos{\left(x^{2} \right)} + 1}} \left(\cos{\left(x^{2} \right)} + 1\right)^{2}}$

Respuesta:

$\frac{- x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)} + \frac{\left(\cos{\left(x^{2} \right)} + 1\right) \sin{\left(x \right)}}{2}}{\sqrt{\frac{1 - \cos{\left(x \right)}}{\cos{\left(x^{2} \right)} + 1}} \left(\cos{\left(x^{2} \right)} + 1\right)^{2}}$

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

     _____________               /                                    / 2\\
    /  1 - cos(x)  /       / 2\\ |     sin(x)       x*(1 - cos(x))*sin\x /|
   /  ----------- *\1 + cos\x //*|--------------- + ----------------------|
  /          / 2\                |  /       / 2\\                    2    |
\/    1 + cos\x /                |2*\1 + cos\x //       /       / 2\\     |
                                 \                      \1 + cos\x //     /
---------------------------------------------------------------------------
                                 1 - cos(x)

$$\frac{\sqrt{\frac{1 - \cos{\left(x \right)}}{\cos{\left(x^{2} \right)} + 1}} \left(\frac{x \left(1 - \cos{\left(x \right)}\right) \sin{\left(x^{2} \right)}}{\left(\cos{\left(x^{2} \right)} + 1\right)^{2}} + \frac{\sin{\left(x \right)}}{2 \left(\cos{\left(x^{2} \right)} + 1\right)}\right) \left(\cos{\left(x^{2} \right)} + 1\right)}{1 - \cos{\left(x \right)}}$$

Simplificar

Segunda derivada [src]

                       /                                                2                                                                                                                                                                                                         \
                       |           /                               / 2\\                            /                               / 2\\            /                               / 2\\                                                                                        |
                       |           |          2*x*(-1 + cos(x))*sin\x /|                            |          2*x*(-1 + cos(x))*sin\x /|            |          2*x*(-1 + cos(x))*sin\x /|    / 2\                                                                                |
                       |           |-sin(x) + -------------------------|                            |-sin(x) + -------------------------|*sin(x)   x*|-sin(x) + -------------------------|*sin\x /                                                                                |
     _________________ |           |                        / 2\       |                     / 2\   |                        / 2\       |            |                        / 2\       |                         / 2\      2                  / 2\      2    2/ 2\              |
    / -(-1 + cos(x))   |  cos(x)   \                 1 + cos\x /       /    (-1 + cos(x))*sin\x /   \                 1 + cos\x /       /            \                 1 + cos\x /       /           2*x*sin(x)*sin\x /   2*x *(-1 + cos(x))*cos\x /   4*x *sin \x /*(-1 + cos(x))|
   /  --------------- *|- ------ + -------------------------------------- + --------------------- + -------------------------------------------- - ----------------------------------------------- - ------------------ + -------------------------- + ---------------------------|
  /            / 2\    |    2                 4*(-1 + cos(x))                           / 2\                      2*(-1 + cos(x))                                           / 2\                               / 2\                     / 2\                               2      |
\/      1 + cos\x /    |                                                         1 + cos\x /                                                                         1 + cos\x /                        1 + cos\x /              1 + cos\x /                  /       / 2\\       |
                       \                                                                                                                                                                                                                                      \1 + cos\x //       /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                    -1 + cos(x)

$$\frac{\sqrt{- \frac{\cos{\left(x \right)} - 1}{\cos{\left(x^{2} \right)} + 1}} \left(\frac{2 x^{2} \left(\cos{\left(x \right)} - 1\right) \cos{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{4 x^{2} \left(\cos{\left(x \right)} - 1\right) \sin^{2}{\left(x^{2} \right)}}{\left(\cos{\left(x^{2} \right)} + 1\right)^{2}} - \frac{x \left(\frac{2 x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \sin{\left(x \right)}\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \frac{2 x \sin{\left(x \right)} \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{\left(\frac{2 x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \sin{\left(x \right)}\right)^{2}}{4 \left(\cos{\left(x \right)} - 1\right)} + \frac{\left(\frac{2 x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \sin{\left(x \right)}\right) \sin{\left(x \right)}}{2 \left(\cos{\left(x \right)} - 1\right)} + \frac{\left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \frac{\cos{\left(x \right)}}{2}\right)}{\cos{\left(x \right)} - 1}$$

Simplificar

Tercera derivada [src]

                       /                                              3   /                             / 2\                 / 2\      2                  / 2\      2    2/ 2\              \                                                                                                                                                                              /                               / 2\\ /                             / 2\                 / 2\      2                  / 2\      2    2/ 2\              \                                          2                                                                                                              /                             / 2\                 / 2\      2                  / 2\      2    2/ 2\              \                                                                                                                                                                                                                                        2                                                                   \
                       |         /                               / 2\\    |          2*(-1 + cos(x))*sin\x /   4*x*sin(x)*sin\x /   4*x *(-1 + cos(x))*cos\x /   8*x *sin \x /*(-1 + cos(x))|                  /                               / 2\\   /                               / 2\\          /                               / 2\\                                |          2*x*(-1 + cos(x))*sin\x /| |          2*(-1 + cos(x))*sin\x /   4*x*sin(x)*sin\x /   4*x *(-1 + cos(x))*cos\x /   8*x *sin \x /*(-1 + cos(x))|     /                               / 2\\                                                                                                               |          2*(-1 + cos(x))*sin\x /   4*x*sin(x)*sin\x /   4*x *(-1 + cos(x))*cos\x /   8*x *sin \x /*(-1 + cos(x))|    / 2\        /                               / 2\\                                                                                                                                              /                               / 2\\                /                               / 2\\               |
                       |         |          2*x*(-1 + cos(x))*sin\x /|    |-cos(x) + ----------------------- - ------------------ + -------------------------- + ---------------------------|*sin(x)      2    |          2*x*(-1 + cos(x))*sin\x /|   |          2*x*(-1 + cos(x))*sin\x /|          |          2*x*(-1 + cos(x))*sin\x /|    / 2\                      3*|-sin(x) + -------------------------|*|-cos(x) + ----------------------- - ------------------ + -------------------------- + ---------------------------|     |          2*x*(-1 + cos(x))*sin\x /|                                                                                                           2*x*|-cos(x) + ----------------------- - ------------------ + -------------------------- + ---------------------------|*sin\x /      2 |          2*x*(-1 + cos(x))*sin\x /|    / 2\                                                                                                                                      |          2*x*(-1 + cos(x))*sin\x /|     / 2\       |          2*x*(-1 + cos(x))*sin\x /|           / 2\|
                       |         |-sin(x) + -------------------------|    |                       / 2\                   / 2\                     / 2\                               2      |          sin (x)*|-sin(x) + -------------------------|   |-sin(x) + -------------------------|*cos(x)   |-sin(x) + -------------------------|*sin\x /                        |                        / 2\       | |                       / 2\                   / 2\                     / 2\                               2      |   3*|-sin(x) + -------------------------| *sin(x)                                                                                                       |                       / 2\                   / 2\                     / 2\                               2      |           2*x *|-sin(x) + -------------------------|*cos\x /                                                                                                                                  3*x*|-sin(x) + -------------------------| *sin\x /   2*x*|-sin(x) + -------------------------|*sin(x)*sin\x /|
     _________________ |         |                        / 2\       |    |                1 + cos\x /            1 + cos\x /              1 + cos\x /                  /       / 2\\       |                  |                        / 2\       |   |                        / 2\       |          |                        / 2\       |                       / 2\     \                 1 + cos\x /       / |                1 + cos\x /            1 + cos\x /              1 + cos\x /                  /       / 2\\       |     |                        / 2\       |               2    2/ 2\             2    / 2\             3                  / 2\                 / 2\       |                1 + cos\x /            1 + cos\x /              1 + cos\x /                  /       / 2\\       |                |                        / 2\       |                                / 2\           2/ 2\                     3    3/ 2\                     3                  / 2\    / 2\       |                        / 2\       |                |                        / 2\       |               |
    / -(-1 + cos(x))   |sin(x)   \                 1 + cos\x /       /    \                                                                                             \1 + cos\x //       /                  \                 1 + cos\x /       /   \                 1 + cos\x /       /          \                 1 + cos\x /       /           3*sin(x)*sin\x /                                           \                                                                                             \1 + cos\x //       /     \                 1 + cos\x /       /           12*x *sin \x /*sin(x)   6*x *cos\x /*sin(x)   4*x *(-1 + cos(x))*sin\x /   3*x*cos(x)*sin\x /       \                                                                                             \1 + cos\x //       /                \                 1 + cos\x /       /           6*x*(-1 + cos(x))*cos\x /   12*x*sin \x /*(-1 + cos(x))   24*x *sin \x /*(-1 + cos(x))   24*x *(-1 + cos(x))*cos\x /*sin\x /       \                 1 + cos\x /       /                \                 1 + cos\x /       /               |
   /  --------------- *|------ + -------------------------------------- + -------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------- + -------------------------------------------- - --------------------------------------------- - ---------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------- - --------------------- - ------------------- - -------------------------- - ------------------ - ------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------- + ------------------------- + --------------------------- + ---------------------------- + ----------------------------------- - -------------------------------------------------- - --------------------------------------------------------|
  /            / 2\    |  2                                2                                                                     -1 + cos(x)                                                                                        2                                2*(-1 + cos(x))                                          / 2\                             / 2\                                                                            4*(-1 + cos(x))                                                                                                        2                                   2                 / 2\                     / 2\                     / 2\                                                                        / 2\                                                                                       / 2\                                     / 2\                              2                             3                                  2                         /       / 2\\                                          /       / 2\\                             |
\/      1 + cos\x /    |                    8*(-1 + cos(x))                                                                                                                                                            (-1 + cos(x))                                                                                   1 + cos\x /                      1 + cos\x /                                                                                                                                                                                    4*(-1 + cos(x))                       /       / 2\\           1 + cos\x /              1 + cos\x /              1 + cos\x /                                                                 1 + cos\x /                                                                                1 + cos\x /                              1 + cos\x /                 /       / 2\\                 /       / 2\\                      /       / 2\\                        2*\1 + cos\x //*(-1 + cos(x))                            \1 + cos\x //*(-1 + cos(x))               |
                       \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     \1 + cos\x //                                                                                                                                                                                                                                                                                                         \1 + cos\x //                 \1 + cos\x //                      \1 + cos\x //                                                                                                                           /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         -1 + cos(x)

$$\frac{\sqrt{- \frac{\cos{\left(x \right)} - 1}{\cos{\left(x^{2} \right)} + 1}} \left(- \frac{4 x^{3} \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{24 x^{3} \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)} \cos{\left(x^{2} \right)}}{\left(\cos{\left(x^{2} \right)} + 1\right)^{2}} + \frac{24 x^{3} \left(\cos{\left(x \right)} - 1\right) \sin^{3}{\left(x^{2} \right)}}{\left(\cos{\left(x^{2} \right)} + 1\right)^{3}} - \frac{2 x^{2} \left(\frac{2 x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \sin{\left(x \right)}\right) \cos{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \frac{6 x^{2} \sin{\left(x \right)} \cos{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \frac{12 x^{2} \sin{\left(x \right)} \sin^{2}{\left(x^{2} \right)}}{\left(\cos{\left(x^{2} \right)} + 1\right)^{2}} - \frac{3 x \left(\frac{2 x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \sin{\left(x \right)}\right)^{2} \sin{\left(x^{2} \right)}}{2 \left(\cos{\left(x \right)} - 1\right) \left(\cos{\left(x^{2} \right)} + 1\right)} - \frac{2 x \left(\frac{2 x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \sin{\left(x \right)}\right) \sin{\left(x \right)} \sin{\left(x^{2} \right)}}{\left(\cos{\left(x \right)} - 1\right) \left(\cos{\left(x^{2} \right)} + 1\right)} + \frac{6 x \left(\cos{\left(x \right)} - 1\right) \cos{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{12 x \left(\cos{\left(x \right)} - 1\right) \sin^{2}{\left(x^{2} \right)}}{\left(\cos{\left(x^{2} \right)} + 1\right)^{2}} - \frac{2 x \left(\frac{4 x^{2} \left(\cos{\left(x \right)} - 1\right) \cos{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{8 x^{2} \left(\cos{\left(x \right)} - 1\right) \sin^{2}{\left(x^{2} \right)}}{\left(\cos{\left(x^{2} \right)} + 1\right)^{2}} - \frac{4 x \sin{\left(x \right)} \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{2 \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \cos{\left(x \right)}\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \frac{3 x \sin{\left(x^{2} \right)} \cos{\left(x \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{\left(\frac{2 x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \sin{\left(x \right)}\right)^{3}}{8 \left(\cos{\left(x \right)} - 1\right)^{2}} + \frac{3 \left(\frac{2 x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \sin{\left(x \right)}\right)^{2} \sin{\left(x \right)}}{4 \left(\cos{\left(x \right)} - 1\right)^{2}} - \frac{\left(\frac{2 x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \sin{\left(x \right)}\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{3 \left(\frac{2 x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \sin{\left(x \right)}\right) \left(\frac{4 x^{2} \left(\cos{\left(x \right)} - 1\right) \cos{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{8 x^{2} \left(\cos{\left(x \right)} - 1\right) \sin^{2}{\left(x^{2} \right)}}{\left(\cos{\left(x^{2} \right)} + 1\right)^{2}} - \frac{4 x \sin{\left(x \right)} \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{2 \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \cos{\left(x \right)}\right)}{4 \left(\cos{\left(x \right)} - 1\right)} + \frac{\left(\frac{2 x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \sin{\left(x \right)}\right) \cos{\left(x \right)}}{2 \left(\cos{\left(x \right)} - 1\right)} + \frac{\left(\frac{2 x \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \sin{\left(x \right)}\right) \sin^{2}{\left(x \right)}}{\left(\cos{\left(x \right)} - 1\right)^{2}} + \frac{\sin{\left(x \right)}}{2} - \frac{3 \sin{\left(x \right)} \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{\left(\frac{4 x^{2} \left(\cos{\left(x \right)} - 1\right) \cos{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{8 x^{2} \left(\cos{\left(x \right)} - 1\right) \sin^{2}{\left(x^{2} \right)}}{\left(\cos{\left(x^{2} \right)} + 1\right)^{2}} - \frac{4 x \sin{\left(x \right)} \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} + \frac{2 \left(\cos{\left(x \right)} - 1\right) \sin{\left(x^{2} \right)}}{\cos{\left(x^{2} \right)} + 1} - \cos{\left(x \right)}\right) \sin{\left(x \right)}}{\cos{\left(x \right)} - 1}\right)}{\cos{\left(x \right)} - 1}$$

Simplificar

Gráfico

Derivada de y=sqrt((1-cos(x))/(1+cos(x^2)))

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

Derivada de y=sqrt((1-cos(x))/(1+cos(x^2)))

Gráfico:

Definida a trozos:

Solución