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^-7
- Derivada de i*n*x
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Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
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Derivada de y=-6/x
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Expresiones idénticas
- y=(tg2x)^arcsin3x
- y es igual a (tg2x) en el grado arc seno de 3x
- y=(tg2x)arcsin3x
- y=tg2xarcsin3x
- y=tg2x^arcsin3x
Derivada de y=(tg2x)^arcsin3x
Solución
Ha introducido
[src]
asin(3*x) tan (2*x)
$$\tan^{\operatorname{asin}{\left(3 x \right)}}{\left(2 x \right)}$$
tan(2*x)^asin(3*x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ / 2 \ \
asin(3*x) |3*log(tan(2*x)) \2 + 2*tan (2*x)/*asin(3*x)|
tan (2*x)*|--------------- + ---------------------------|
| __________ tan(2*x) |
| / 2 |
\ \/ 1 - 9*x /
$$\left(\frac{\left(2 \tan^{2}{\left(2 x \right)} + 2\right) \operatorname{asin}{\left(3 x \right)}}{\tan{\left(2 x \right)}} + \frac{3 \log{\left(\tan{\left(2 x \right)} \right)}}{\sqrt{1 - 9 x^{2}}}\right) \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(2 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
asin(3*x) ||3*log(tan(2*x)) 2*\1 + tan (2*x)/*asin(3*x)| / 2 \ 4*\1 + tan (2*x)/ *asin(3*x) 12*\1 + tan (2*x)/ 27*x*log(tan(2*x))|
tan (2*x)*||--------------- + ---------------------------| + 8*\1 + tan (2*x)/*asin(3*x) - ---------------------------- + ---------------------- + ------------------|
|| __________ tan(2*x) | 2 __________ 3/2 |
|| / 2 | tan (2*x) / 2 / 2\ |
\\ \/ 1 - 9*x / \/ 1 - 9*x *tan(2*x) \1 - 9*x / /
$$\left(\frac{27 x \log{\left(\tan{\left(2 x \right)} \right)}}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}} + \left(\frac{2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \operatorname{asin}{\left(3 x \right)}}{\tan{\left(2 x \right)}} + \frac{3 \log{\left(\tan{\left(2 x \right)} \right)}}{\sqrt{1 - 9 x^{2}}}\right)^{2} - \frac{4 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \operatorname{asin}{\left(3 x \right)}}{\tan^{2}{\left(2 x \right)}} + 8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \operatorname{asin}{\left(3 x \right)} + \frac{12 \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\sqrt{1 - 9 x^{2}} \tan{\left(2 x \right)}}\right) \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(2 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 2 3 \
|/ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ 2 / 2 \ |
asin(3*x) ||3*log(tan(2*x)) 2*\1 + tan (2*x)/*asin(3*x)| |3*log(tan(2*x)) 2*\1 + tan (2*x)/*asin(3*x)| | / 2 \ 4*\1 + tan (2*x)/ *asin(3*x) 12*\1 + tan (2*x)/ 27*x*log(tan(2*x))| 27*log(tan(2*x)) 72*\1 + tan (2*x)/ 36*\1 + tan (2*x)/ 32*\1 + tan (2*x)/ *asin(3*x) 16*\1 + tan (2*x)/ *asin(3*x) / 2 \ 729*x *log(tan(2*x)) 162*x*\1 + tan (2*x)/ |
tan (2*x)*||--------------- + ---------------------------| + 3*|--------------- + ---------------------------|*|8*\1 + tan (2*x)/*asin(3*x) - ---------------------------- + ---------------------- + ------------------| + ---------------- + ------------------ - ----------------------- - ----------------------------- + ----------------------------- + 32*\1 + tan (2*x)/*asin(3*x)*tan(2*x) + -------------------- + ----------------------|
|| __________ tan(2*x) | | __________ tan(2*x) | | 2 __________ 3/2 | 3/2 __________ __________ tan(2*x) 3 5/2 3/2 |
|| / 2 | | / 2 | | tan (2*x) / 2 / 2\ | / 2\ / 2 / 2 2 tan (2*x) / 2\ / 2\ |
\\ \/ 1 - 9*x / \ \/ 1 - 9*x / \ \/ 1 - 9*x *tan(2*x) \1 - 9*x / / \1 - 9*x / \/ 1 - 9*x \/ 1 - 9*x *tan (2*x) \1 - 9*x / \1 - 9*x / *tan(2*x)/
$$\left(\frac{729 x^{2} \log{\left(\tan{\left(2 x \right)} \right)}}{\left(1 - 9 x^{2}\right)^{\frac{5}{2}}} + \frac{162 x \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}} \tan{\left(2 x \right)}} + \left(\frac{2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \operatorname{asin}{\left(3 x \right)}}{\tan{\left(2 x \right)}} + \frac{3 \log{\left(\tan{\left(2 x \right)} \right)}}{\sqrt{1 - 9 x^{2}}}\right)^{3} + 3 \left(\frac{2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \operatorname{asin}{\left(3 x \right)}}{\tan{\left(2 x \right)}} + \frac{3 \log{\left(\tan{\left(2 x \right)} \right)}}{\sqrt{1 - 9 x^{2}}}\right) \left(\frac{27 x \log{\left(\tan{\left(2 x \right)} \right)}}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}} - \frac{4 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \operatorname{asin}{\left(3 x \right)}}{\tan^{2}{\left(2 x \right)}} + 8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \operatorname{asin}{\left(3 x \right)} + \frac{12 \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\sqrt{1 - 9 x^{2}} \tan{\left(2 x \right)}}\right) + \frac{16 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{3} \operatorname{asin}{\left(3 x \right)}}{\tan^{3}{\left(2 x \right)}} - \frac{32 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \operatorname{asin}{\left(3 x \right)}}{\tan{\left(2 x \right)}} + 32 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)} \operatorname{asin}{\left(3 x \right)} - \frac{36 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2}}{\sqrt{1 - 9 x^{2}} \tan^{2}{\left(2 x \right)}} + \frac{72 \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\sqrt{1 - 9 x^{2}}} + \frac{27 \log{\left(\tan{\left(2 x \right)} \right)}}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}}\right) \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(2 x \right)}$$
Gráfico