Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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¿Cómo usar?
- Derivada de:
-
Derivada de (x+12)e^(12-x)
- Derivada de u/v
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Derivada de t+1
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Derivada de (sqrt(x)-1)/(sqrt(x^2)-x-1)
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Expresiones idénticas
- y=sin(x)^(tg(uno /x))
- y es igual a seno de (x) en el grado (tg(1 dividir por x))
- y es igual a seno de (x) en el grado (tg(uno dividir por x))
- y=sin(x)(tg(1/x))
- y=sinxtg1/x
- y=sinx^tg1/x
- y=sin(x)^(tg(1 dividir por x))
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Expresiones semejantes
- y=sinx^(tg(1/x))
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Expresiones con funciones
- Seno sin
- sin^(-1)x
- sin(12*x)
- sin^-1(cosx)
- sin(1-4x)
- sin(x)-5
Derivada de y=sin(x)^(tg(1/x))
Solución
Ha introducido
[src]
/1\
tan|-|
\x/
(sin(x))
$$\sin^{\tan{\left(\frac{1}{x} \right)}}{\left(x \right)}$$
sin(x)^tan(1/x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/1\ / /1\ / 2/1\\ \
tan|-| |cos(x)*tan|-| |1 + tan |-||*log(sin(x))|
\x/ | \x/ \ \x// |
(sin(x)) *|------------- - -------------------------|
| sin(x) 2 |
\ x /
$$\left(\frac{\cos{\left(x \right)} \tan{\left(\frac{1}{x} \right)}}{\sin{\left(x \right)}} - \frac{\left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)}}{x^{2}}\right) \sin^{\tan{\left(\frac{1}{x} \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 \
/1\ |/ /1\ / 2/1\\ \ 2 /1\ / 2/1\\ / 2/1\\ / 2/1\\ /1\|
tan|-| ||cos(x)*tan|-| |1 + tan |-||*log(sin(x))| cos (x)*tan|-| 2*|1 + tan |-||*log(sin(x)) 2*|1 + tan |-||*cos(x) 2*|1 + tan |-||*log(sin(x))*tan|-||
\x/ || \x/ \ \x// | /1\ \x/ \ \x// \ \x// \ \x// \x/|
(sin(x)) *||------------- - -------------------------| - tan|-| - -------------- + --------------------------- - ---------------------- + ----------------------------------|
|| sin(x) 2 | \x/ 2 3 2 4 |
\\ x / sin (x) x x *sin(x) x /
$$\left(\left(\frac{\cos{\left(x \right)} \tan{\left(\frac{1}{x} \right)}}{\sin{\left(x \right)}} - \frac{\left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)}}{x^{2}}\right)^{2} - \tan{\left(\frac{1}{x} \right)} - \frac{\cos^{2}{\left(x \right)} \tan{\left(\frac{1}{x} \right)}}{\sin^{2}{\left(x \right)}} - \frac{2 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \cos{\left(x \right)}}{x^{2} \sin{\left(x \right)}} + \frac{2 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)}}{x^{3}} + \frac{2 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} \tan{\left(\frac{1}{x} \right)}}{x^{4}}\right) \sin^{\tan{\left(\frac{1}{x} \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 2 \
/1\ |/ /1\ / 2/1\\ \ / /1\ / 2/1\\ \ / 2 /1\ / 2/1\\ / 2/1\\ /1\ / 2/1\\ \ / 2/1\\ / 2/1\\ / 2/1\\ 3 /1\ /1\ / 2/1\\ /1\ 2/1\ / 2/1\\ 2 / 2/1\\ / 2/1\\ / 2/1\\ /1\|
tan|-| ||cos(x)*tan|-| |1 + tan |-||*log(sin(x))| |cos(x)*tan|-| |1 + tan |-||*log(sin(x))| |cos (x)*tan|-| 2*|1 + tan |-||*log(sin(x)) 2*|1 + tan |-||*log(sin(x))*tan|-| 2*|1 + tan |-||*cos(x) | 3*|1 + tan |-|| 6*|1 + tan |-||*log(sin(x)) 2*|1 + tan |-|| *log(sin(x)) 2*cos (x)*tan|-| 2*cos(x)*tan|-| 12*|1 + tan |-||*log(sin(x))*tan|-| 4*tan |-|*|1 + tan |-||*log(sin(x)) 3*cos (x)*|1 + tan |-|| 6*|1 + tan |-||*cos(x) 6*|1 + tan |-||*cos(x)*tan|-||
\x/ || \x/ \ \x// | | \x/ \ \x// | | \x/ \ \x// \ \x// \x/ \ \x// /1\| \ \x// \ \x// \ \x// \x/ \x/ \ \x// \x/ \x/ \ \x// \ \x// \ \x// \ \x// \x/|
(sin(x)) *||------------- - -------------------------| - 3*|------------- - -------------------------|*|-------------- - --------------------------- - ---------------------------------- + ---------------------- + tan|-|| + --------------- - --------------------------- - ---------------------------- + ---------------- + --------------- - ----------------------------------- - ----------------------------------- + ----------------------- + ---------------------- + -----------------------------|
|| sin(x) 2 | | sin(x) 2 | | 2 3 4 2 \x/| 2 4 6 3 sin(x) 5 6 2 2 3 4 |
\\ x / \ x / \ sin (x) x x x *sin(x) / x x x sin (x) x x x *sin (x) x *sin(x) x *sin(x) /
$$\left(\left(\frac{\cos{\left(x \right)} \tan{\left(\frac{1}{x} \right)}}{\sin{\left(x \right)}} - \frac{\left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)}}{x^{2}}\right)^{3} - 3 \left(\frac{\cos{\left(x \right)} \tan{\left(\frac{1}{x} \right)}}{\sin{\left(x \right)}} - \frac{\left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)}}{x^{2}}\right) \left(\tan{\left(\frac{1}{x} \right)} + \frac{\cos^{2}{\left(x \right)} \tan{\left(\frac{1}{x} \right)}}{\sin^{2}{\left(x \right)}} + \frac{2 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \cos{\left(x \right)}}{x^{2} \sin{\left(x \right)}} - \frac{2 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)}}{x^{3}} - \frac{2 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} \tan{\left(\frac{1}{x} \right)}}{x^{4}}\right) + \frac{2 \cos{\left(x \right)} \tan{\left(\frac{1}{x} \right)}}{\sin{\left(x \right)}} + \frac{2 \cos^{3}{\left(x \right)} \tan{\left(\frac{1}{x} \right)}}{\sin^{3}{\left(x \right)}} + \frac{3 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right)}{x^{2}} + \frac{3 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \cos^{2}{\left(x \right)}}{x^{2} \sin^{2}{\left(x \right)}} + \frac{6 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \cos{\left(x \right)}}{x^{3} \sin{\left(x \right)}} - \frac{6 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)}}{x^{4}} + \frac{6 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \cos{\left(x \right)} \tan{\left(\frac{1}{x} \right)}}{x^{4} \sin{\left(x \right)}} - \frac{12 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} \tan{\left(\frac{1}{x} \right)}}{x^{5}} - \frac{2 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}}{x^{6}} - \frac{4 \left(\tan^{2}{\left(\frac{1}{x} \right)} + 1\right) \log{\left(\sin{\left(x \right)} \right)} \tan^{2}{\left(\frac{1}{x} \right)}}{x^{6}}\right) \sin^{\tan{\left(\frac{1}{x} \right)}}{\left(x \right)}$$
Gráfico