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:
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Derivada de x^-8
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Derivada de x^2/lnx
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Derivada de √x+2
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Derivada de (t^(2)+1)÷(t^(1÷2)-1)
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Expresiones idénticas
- y=(sin4x)^(tres /tgx)
- y es igual a ( seno de 4x) en el grado (3 dividir por tgx)
- y es igual a ( seno de 4x) en el grado (tres dividir por tgx)
- y=(sin4x)(3/tgx)
- y=sin4x3/tgx
- y=sin4x^3/tgx
- y=(sin4x)^(3 dividir por tgx)
Derivada de y=(sin4x)^(3/tgx)
Solución
Ha introducido
[src]
3
------
tan(x)
(sin(4*x))
$$\sin^{\frac{3}{\tan{\left(x \right)}}}{\left(4 x \right)}$$
sin(4*x)^(3/tan(x))
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
3
------ / / 2 \ \
tan(x) |3*\-1 - tan (x)/*log(sin(4*x)) 12*cos(4*x) |
(sin(4*x)) *|------------------------------ + ---------------|
| 2 sin(4*x)*tan(x)|
\ tan (x) /
$$\left(\frac{3 \left(- \tan^{2}{\left(x \right)} - 1\right) \log{\left(\sin{\left(4 x \right)} \right)}}{\tan^{2}{\left(x \right)}} + \frac{12 \cos{\left(4 x \right)}}{\sin{\left(4 x \right)} \tan{\left(x \right)}}\right) \sin^{\frac{3}{\tan{\left(x \right)}}}{\left(4 x \right)}$$
Segunda derivada
[src]
/ 2 \
| / / 2 \ \ |
3 | | 4*cos(4*x) \1 + tan (x)/*log(sin(4*x))| 2 |
------ | 2 3*|- ---------- + ---------------------------| / 2 \ / 2 \ |
tan(x) | 16*cos (4*x) / 2 \ \ sin(4*x) tan(x) / 2*\1 + tan (x)/ *log(sin(4*x)) 8*\1 + tan (x)/*cos(4*x)|
3*(sin(4*x)) *|-16 - ------------ - 2*\1 + tan (x)/*log(sin(4*x)) + ----------------------------------------------- + ------------------------------ - ------------------------|
| 2 tan(x) 2 sin(4*x)*tan(x) |
\ sin (4*x) tan (x) /
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
tan(x)
$$\frac{3 \left(\frac{3 \left(\frac{\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(4 x \right)} \right)}}{\tan{\left(x \right)}} - \frac{4 \cos{\left(4 x \right)}}{\sin{\left(4 x \right)}}\right)^{2}}{\tan{\left(x \right)}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\sin{\left(4 x \right)} \right)}}{\tan^{2}{\left(x \right)}} - 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(4 x \right)} \right)} - \frac{8 \left(\tan^{2}{\left(x \right)} + 1\right) \cos{\left(4 x \right)}}{\sin{\left(4 x \right)} \tan{\left(x \right)}} - 16 - \frac{16 \cos^{2}{\left(4 x \right)}}{\sin^{2}{\left(4 x \right)}}\right) \sin^{\frac{3}{\tan{\left(x \right)}}}{\left(4 x \right)}}{\tan{\left(x \right)}}$$
Tercera derivada
[src]
/ / 2 \ \
| 3 / / 2 \ \ | 2 / 2 \ / 2 \ | |
| / / 2 \ \ | 4*cos(4*x) \1 + tan (x)/*log(sin(4*x))| | / 2 \ 8*cos (4*x) \1 + tan (x)/ *log(sin(4*x)) 4*\1 + tan (x)/*cos(4*x)| |
3 | | 4*cos(4*x) \1 + tan (x)/*log(sin(4*x))| 3 2 18*|- ---------- + ---------------------------|*|8 + \1 + tan (x)/*log(sin(4*x)) + ----------- - ---------------------------- + ------------------------| 2 |
------ | 9*|- ---------- + ---------------------------| / 2 \ / 2 \ / 2 \ \ sin(4*x) tan(x) / | 2 2 sin(4*x)*tan(x) | 3 / 2 \ / 2 \ 2 / 2 \|
tan(x) | \ sin(4*x) tan(x) / / 2 \ 48*\1 + tan (x)/ 6*\1 + tan (x)/ *log(sin(4*x)) 10*\1 + tan (x)/ *log(sin(4*x)) \ sin (4*x) tan (x) / 128*cos (4*x) 128*cos(4*x) 24*\1 + tan (x)/*cos(4*x) 24*\1 + tan (x)/ *cos(4*x) 48*cos (4*x)*\1 + tan (x)/|
3*(sin(4*x)) *|- ----------------------------------------------- - 4*\1 + tan (x)/*log(sin(4*x)) + ---------------- - ------------------------------ + ------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------- + --------------- - ------------------------- + -------------------------- + --------------------------|
| 3 2 4 2 2 3 sin(4*x)*tan(x) sin(4*x)*tan(x) 3 2 2 |
\ tan (x) tan (x) tan (x) tan (x) tan (x) sin (4*x)*tan(x) sin(4*x)*tan (x) sin (4*x)*tan (x) /
$$3 \left(- \frac{9 \left(\frac{\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(4 x \right)} \right)}}{\tan{\left(x \right)}} - \frac{4 \cos{\left(4 x \right)}}{\sin{\left(4 x \right)}}\right)^{3}}{\tan^{3}{\left(x \right)}} + \frac{18 \left(\frac{\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(4 x \right)} \right)}}{\tan{\left(x \right)}} - \frac{4 \cos{\left(4 x \right)}}{\sin{\left(4 x \right)}}\right) \left(- \frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\sin{\left(4 x \right)} \right)}}{\tan^{2}{\left(x \right)}} + \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(4 x \right)} \right)} + \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right) \cos{\left(4 x \right)}}{\sin{\left(4 x \right)} \tan{\left(x \right)}} + 8 + \frac{8 \cos^{2}{\left(4 x \right)}}{\sin^{2}{\left(4 x \right)}}\right)}{\tan^{2}{\left(x \right)}} - \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right)^{3} \log{\left(\sin{\left(4 x \right)} \right)}}{\tan^{4}{\left(x \right)}} + \frac{10 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\sin{\left(4 x \right)} \right)}}{\tan^{2}{\left(x \right)}} + \frac{24 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \cos{\left(4 x \right)}}{\sin{\left(4 x \right)} \tan^{3}{\left(x \right)}} - 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\sin{\left(4 x \right)} \right)} + \frac{48 \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan^{2}{\left(x \right)}} - \frac{24 \left(\tan^{2}{\left(x \right)} + 1\right) \cos{\left(4 x \right)}}{\sin{\left(4 x \right)} \tan{\left(x \right)}} + \frac{48 \left(\tan^{2}{\left(x \right)} + 1\right) \cos^{2}{\left(4 x \right)}}{\sin^{2}{\left(4 x \right)} \tan^{2}{\left(x \right)}} + \frac{128 \cos{\left(4 x \right)}}{\sin{\left(4 x \right)} \tan{\left(x \right)}} + \frac{128 \cos^{3}{\left(4 x \right)}}{\sin^{3}{\left(4 x \right)} \tan{\left(x \right)}}\right) \sin^{\frac{3}{\tan{\left(x \right)}}}{\left(4 x \right)}$$