Sr Examen

Lang:

Otras calculadoras

$y=(\sqrt(tgx))^(x+1)$

¿Cómo usar?
Derivada de:
Derivada de x!
Derivada de e^x-e^-x
Derivada de 1/t
Derivada de -(1/x^2)
Expresiones idénticas
y=(\sqrt(tgx))^(x+ uno)
y es igual a (\ raíz cuadrada de (tgx)) en el grado (x más 1)
y es igual a (\ raíz cuadrada de (tgx)) en el grado (x más uno)
y=(\√(tgx))^(x+1)
y=(\sqrt(tgx))(x+1)
y=\sqrttgxx+1
y=\sqrttgx^x+1
Expresiones semejantes
y=(\sqrt(tgx))^(x-1)
Expresiones con funciones
Raíz cuadrada sqrt
sqrt(1/x)
sqrt(x)^3+1
sqrt(x)^3/(x-1)
sqrt(x^3)+4*x^7-2*x
sqrt(x)*2^x

Derivada de la función/ (tgx)/ (x+1)/ y=(\sqrt(tgx))^(x+1)

Derivada de y=(\sqrt(tgx))^(x+1)

Solución

Ha introducido [src]

          x + 1
  ________     
\/ tan(x)

\left(\sqrt{\tan{\left(x \right)}}\right)^{x + 1}

(sqrt(tan(x)))^(x + 1)

Solución detallada

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

Perola derivada

$\left(x + 1\right)^{x + 1} \left(\log{\left(x + 1 \right)} + 1\right)$
Simplificamos:

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

Respuesta:

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

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

              //       2   \                          \
        1   x ||1   tan (x)|                          |
        - + - ||- + -------|*(x + 1)                  |
        2   2 |\2      2   /              /  ________\|
(tan(x))     *|--------------------- + log\\/ tan(x) /|
              \        tan(x)                         /

\left(\frac{\left(x + 1\right) \left(\frac{\tan^{2}{\left(x \right)}}{2} + \frac{1}{2}\right)}{\tan{\left(x \right)}} + \log{\left(\sqrt{\tan{\left(x \right)}} \right)}\right) \tan^{\frac{x}{2} + \frac{1}{2}}{\left(x \right)}

Simplificar

Segunda derivada [src]

        1   x                                                                                                                                                 
        - + - //                            /       2   \\ /        /       2   \              \                   /                           /       2   \\\
        2   2 ||     /  ________\   (1 + x)*\1 + tan (x)/| |(1 + x)*\1 + tan (x)/              |     /       2   \ |            2      (1 + x)*\1 + tan (x)/||
(tan(x))     *||2*log\\/ tan(x) / + ---------------------|*|--------------------- + log(tan(x))| + 2*\1 + tan (x)/*|2 + 2*x + ------ - ---------------------||
              |\                            tan(x)       / \        tan(x)                     /                   |          tan(x)             2          ||
              \                                                                                                    \                          tan (x)       //
--------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                              4

\frac{\left(\left(\frac{\left(x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + 2 \log{\left(\sqrt{\tan{\left(x \right)}} \right)}\right) \left(\frac{\left(x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + \log{\left(\tan{\left(x \right)} \right)}\right) + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \left(2 x - \frac{\left(x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan^{2}{\left(x \right)}} + 2 + \frac{2}{\tan{\left(x \right)}}\right)\right) \tan^{\frac{x}{2} + \frac{1}{2}}{\left(x \right)}}{4}

Simplificar

Tercera derivada [src]

              /                                                                        2                                                                                      /        /       2   \              \ /                           /       2   \\                                                                             /                            /       2   \\ /                           /       2   \\\
              |                                   /        /       2   \              \  /                            /       2   \\                            /       2   \ |(1 + x)*\1 + tan (x)/              | |            2      (1 + x)*\1 + tan (x)/|                                                               /       2   \ |     /  ________\   (1 + x)*\1 + tan (x)/| |            2      (1 + x)*\1 + tan (x)/||
        1   x |                               2   |(1 + x)*\1 + tan (x)/              |  |     /  ________\   (1 + x)*\1 + tan (x)/|                3           \1 + tan (x)/*|--------------------- + log(tan(x))|*|2 + 2*x + ------ - ---------------------|                  2                                            \1 + tan (x)/*|2*log\\/ tan(x) / + ---------------------|*|2 + 2*x + ------ - ---------------------||
        - + - |                  /       2   \    |--------------------- + log(tan(x))| *|2*log\\/ tan(x) / + ---------------------|   /       2   \                          \        tan(x)                     / |          tan(x)             2          |     /       2   \                                                           \                            tan(x)       / |          tan(x)             2          ||
        2   2 |         2      3*\1 + tan (x)/    \        tan(x)                     /  \                            tan(x)       /   \1 + tan (x)/ *(1 + x)                                                       \                          tan (x)       /   2*\1 + tan (x)/ *(1 + x)             /       2   \                                                                    \                          tan (x)       /|
(tan(x))     *|3 + 3*tan (x) - ---------------- + ---------------------------------------------------------------------------------- + ---------------------- + ---------------------------------------------------------------------------------------------- - ------------------------ + 2*(1 + x)*\1 + tan (x)/*tan(x) + ----------------------------------------------------------------------------------------------------|
              |                        2                                                  8                                                      3                                                            2                                                           tan(x)                                                                                              4                                                  |
              \                   2*tan (x)                                                                                                   tan (x)                                                                                                                                                                                                                                                                            /

\left(\frac{\left(x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{3}}{\tan^{3}{\left(x \right)}} - \frac{2 \left(x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan{\left(x \right)}} + 2 \left(x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \frac{\left(\frac{\left(x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + 2 \log{\left(\sqrt{\tan{\left(x \right)}} \right)}\right) \left(\frac{\left(x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + \log{\left(\tan{\left(x \right)} \right)}\right)^{2}}{8} + \frac{\left(\frac{\left(x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + 2 \log{\left(\sqrt{\tan{\left(x \right)}} \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \left(2 x - \frac{\left(x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan^{2}{\left(x \right)}} + 2 + \frac{2}{\tan{\left(x \right)}}\right)}{4} + \frac{\left(\frac{\left(x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + \log{\left(\tan{\left(x \right)} \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \left(2 x - \frac{\left(x + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan^{2}{\left(x \right)}} + 2 + \frac{2}{\tan{\left(x \right)}}\right)}{2} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{2 \tan^{2}{\left(x \right)}} + 3 \tan^{2}{\left(x \right)} + 3\right) \tan^{\frac{x}{2} + \frac{1}{2}}{\left(x \right)}

Simplificar

Gráfico

$Derivada de y=(\sqrt(tgx))^(x+1)$

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

Derivada de y=(\sqrt(tgx))^(x+1)

Gráfico:

Definida a trozos:

Solución