Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
Derivada de:
Derivada de x^-4/5
Derivada de x^2*5^x
Derivada de x/(1+e^x)
Derivada de u/v
Expresiones idénticas
y=(x+ uno)^(uno /sinx)
y es igual a (x más 1) en el grado (1 dividir por seno de x)
y es igual a (x más uno) en el grado (uno dividir por seno de x)
y=(x+1)(1/sinx)
y=x+11/sinx
y=x+1^1/sinx
y=(x+1)^(1 dividir por sinx)
Expresiones semejantes
y=(x-1)^(1/sinx)

Derivada de la función/ (x+1)/ 1/sinx/ y=(x+1)^(1/sinx)

Derivada de y=(x+1)^(1/sinx)

Solución

Ha introducido [src]

         1   
       ------
       sin(x)
(x + 1)

\left(x + 1\right)^{\frac{1}{\sin{\left(x \right)}}}

(x + 1)^(1/sin(x))

Solución detallada

No logro encontrar los pasos en la búsqueda de esta derivada.

Perola derivada

$\left(\log{\left(\frac{1}{\sin{\left(x \right)}} \right)} + 1\right) \left(\frac{1}{\sin{\left(x \right)}}\right)^{\frac{1}{\sin{\left(x \right)}}}$

Respuesta:

$\left(\log{\left(\frac{1}{\sin{\left(x \right)}} \right)} + 1\right) \left(\frac{1}{\sin{\left(x \right)}}\right)^{\frac{1}{\sin{\left(x \right)}}}$

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

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

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

Simplificar

Segunda derivada [src]

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

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

Simplificar

Tercera derivada [src]

              /                                                                                                                                 /                                   2                           \                                    \
              |                                                3                                                  /    1     cos(x)*log(1 + x)\ |     1          2*cos(x)      2*cos (x)*log(1 + x)             |                                    |
         1    |                   /    1     cos(x)*log(1 + x)\                                                 3*|- ----- + -----------------|*|- -------- - -------------- + -------------------- + log(1 + x)|                                    |
       ------ |                   |- ----- + -----------------|         3                                         \  1 + x         sin(x)     / |         2   (1 + x)*sin(x)            2                       |                             2      |
       sin(x) |   2         3     \  1 + x         sin(x)     /    6*cos (x)*log(1 + x)   5*cos(x)*log(1 + x)                                   \  (1 + x)                           sin (x)                    /       3*cos(x)         6*cos (x)   |
(1 + x)      *|-------- + ----- - ------------------------------ - -------------------- - ------------------- - ------------------------------------------------------------------------------------------------- + --------------- + ---------------|
              |       3   1 + x                 2                           3                    sin(x)                                                       sin(x)                                                       2                     2   |
              \(1 + x)                       sin (x)                     sin (x)                                                                                                                                    (1 + x) *sin(x)   (1 + x)*sin (x)/
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                        sin(x)

\frac{\left(x + 1\right)^{\frac{1}{\sin{\left(x \right)}}} \left(- \frac{\left(\frac{\log{\left(x + 1 \right)} \cos{\left(x \right)}}{\sin{\left(x \right)}} - \frac{1}{x + 1}\right)^{3}}{\sin^{2}{\left(x \right)}} - \frac{3 \left(\frac{\log{\left(x + 1 \right)} \cos{\left(x \right)}}{\sin{\left(x \right)}} - \frac{1}{x + 1}\right) \left(\log{\left(x + 1 \right)} + \frac{2 \log{\left(x + 1 \right)} \cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}} - \frac{2 \cos{\left(x \right)}}{\left(x + 1\right) \sin{\left(x \right)}} - \frac{1}{\left(x + 1\right)^{2}}\right)}{\sin{\left(x \right)}} - \frac{5 \log{\left(x + 1 \right)} \cos{\left(x \right)}}{\sin{\left(x \right)}} - \frac{6 \log{\left(x + 1 \right)} \cos^{3}{\left(x \right)}}{\sin^{3}{\left(x \right)}} + \frac{3}{x + 1} + \frac{6 \cos^{2}{\left(x \right)}}{\left(x + 1\right) \sin^{2}{\left(x \right)}} + \frac{3 \cos{\left(x \right)}}{\left(x + 1\right)^{2} \sin{\left(x \right)}} + \frac{2}{\left(x + 1\right)^{3}}\right)}{\sin{\left(x \right)}}

Simplificar

Gráfico

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Derivada de y=(x+1)^(1/sinx)

Gráfico:

Definida a trozos:

Solución