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*e^(-x^2)
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Derivada de 1/(x+1)^2
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Derivada de x^(4/5)
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Derivada de x*e^(1/x)
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Expresiones idénticas
- y=(tg5x)^arcsin(2x+ uno)
- y es igual a (tg5x) en el grado arc seno de (2x más 1)
- y es igual a (tg5x) en el grado arc seno de (2x más uno)
- y=(tg5x)arcsin(2x+1)
- y=tg5xarcsin2x+1
- y=tg5x^arcsin2x+1
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Expresiones semejantes
- y=(tg5x)^arcsin(2x-1)
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Expresiones con funciones
- arcsin
- arcsin(lnx)
- arcsin^2(x)
- arcsin(2*x)
- arcsin((x+1)/x)
- arcsin^26x
Derivada de y=(tg5x)^arcsin(2x+1)
Solución
Ha introducido
[src]
asin(2*x + 1) tan (5*x)
$$\tan^{\operatorname{asin}{\left(2 x + 1 \right)}}{\left(5 x \right)}$$
tan(5*x)^asin(2*x + 1)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
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Simplificamos:
Respuesta:
Primera derivada
[src]
/ / 2 \ \
asin(2*x + 1) | 2*log(tan(5*x)) \5 + 5*tan (5*x)/*asin(2*x + 1)|
tan (5*x)*|------------------- + -------------------------------|
| ________________ tan(5*x) |
| / 2 |
\\/ 1 - (2*x + 1) /
$$\left(\frac{\left(5 \tan^{2}{\left(5 x \right)} + 5\right) \operatorname{asin}{\left(2 x + 1 \right)}}{\tan{\left(5 x \right)}} + \frac{2 \log{\left(\tan{\left(5 x \right)} \right)}}{\sqrt{1 - \left(2 x + 1\right)^{2}}}\right) \tan^{\operatorname{asin}{\left(2 x + 1 \right)}}{\left(5 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
asin(1 + 2*x) || 2*log(tan(5*x)) 5*\1 + tan (5*x)/*asin(1 + 2*x)| / 2 \ 25*\1 + tan (5*x)/ *asin(1 + 2*x) 4*(1 + 2*x)*log(tan(5*x)) 20*\1 + tan (5*x)/ |
tan (5*x)*||------------------- + -------------------------------| + 50*\1 + tan (5*x)/*asin(1 + 2*x) - --------------------------------- + ------------------------- + ----------------------------|
|| ________________ tan(5*x) | 2 3/2 ________________ |
|| / 2 | tan (5*x) / 2\ / 2 |
\\\/ 1 - (1 + 2*x) / \1 - (1 + 2*x) / \/ 1 - (1 + 2*x) *tan(5*x)/
$$\left(\left(\frac{5 \left(\tan^{2}{\left(5 x \right)} + 1\right) \operatorname{asin}{\left(2 x + 1 \right)}}{\tan{\left(5 x \right)}} + \frac{2 \log{\left(\tan{\left(5 x \right)} \right)}}{\sqrt{1 - \left(2 x + 1\right)^{2}}}\right)^{2} - \frac{25 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2} \operatorname{asin}{\left(2 x + 1 \right)}}{\tan^{2}{\left(5 x \right)}} + 50 \left(\tan^{2}{\left(5 x \right)} + 1\right) \operatorname{asin}{\left(2 x + 1 \right)} + \frac{20 \left(\tan^{2}{\left(5 x \right)} + 1\right)}{\sqrt{1 - \left(2 x + 1\right)^{2}} \tan{\left(5 x \right)}} + \frac{4 \left(2 x + 1\right) \log{\left(\tan{\left(5 x \right)} \right)}}{\left(1 - \left(2 x + 1\right)^{2}\right)^{\frac{3}{2}}}\right) \tan^{\operatorname{asin}{\left(2 x + 1 \right)}}{\left(5 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 2 3 \
|/ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ 2 / 2 \ / 2 \ |
asin(1 + 2*x) || 2*log(tan(5*x)) 5*\1 + tan (5*x)/*asin(1 + 2*x)| | 2*log(tan(5*x)) 5*\1 + tan (5*x)/*asin(1 + 2*x)| | / 2 \ 25*\1 + tan (5*x)/ *asin(1 + 2*x) 4*(1 + 2*x)*log(tan(5*x)) 20*\1 + tan (5*x)/ | 8*log(tan(5*x)) 300*\1 + tan (5*x)/ 500*\1 + tan (5*x)/ *asin(1 + 2*x) 150*\1 + tan (5*x)/ 24*(1 + 2*x) *log(tan(5*x)) 250*\1 + tan (5*x)/ *asin(1 + 2*x) / 2 \ 60*\1 + tan (5*x)/*(1 + 2*x)|
tan (5*x)*||------------------- + -------------------------------| + 3*|------------------- + -------------------------------|*|50*\1 + tan (5*x)/*asin(1 + 2*x) - --------------------------------- + ------------------------- + ----------------------------| + ------------------- + ------------------- - ---------------------------------- - ----------------------------- + --------------------------- + ---------------------------------- + 500*\1 + tan (5*x)/*asin(1 + 2*x)*tan(5*x) + ----------------------------|
|| ________________ tan(5*x) | | ________________ tan(5*x) | | 2 3/2 ________________ | 3/2 ________________ tan(5*x) ________________ 5/2 3 3/2 |
|| / 2 | | / 2 | | tan (5*x) / 2\ / 2 | / 2\ / 2 / 2 2 / 2\ tan (5*x) / 2\ |
\\\/ 1 - (1 + 2*x) / \\/ 1 - (1 + 2*x) / \ \1 - (1 + 2*x) / \/ 1 - (1 + 2*x) *tan(5*x)/ \1 - (1 + 2*x) / \/ 1 - (1 + 2*x) \/ 1 - (1 + 2*x) *tan (5*x) \1 - (1 + 2*x) / \1 - (1 + 2*x) / *tan(5*x)/
$$\left(\left(\frac{5 \left(\tan^{2}{\left(5 x \right)} + 1\right) \operatorname{asin}{\left(2 x + 1 \right)}}{\tan{\left(5 x \right)}} + \frac{2 \log{\left(\tan{\left(5 x \right)} \right)}}{\sqrt{1 - \left(2 x + 1\right)^{2}}}\right)^{3} + 3 \left(\frac{5 \left(\tan^{2}{\left(5 x \right)} + 1\right) \operatorname{asin}{\left(2 x + 1 \right)}}{\tan{\left(5 x \right)}} + \frac{2 \log{\left(\tan{\left(5 x \right)} \right)}}{\sqrt{1 - \left(2 x + 1\right)^{2}}}\right) \left(- \frac{25 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2} \operatorname{asin}{\left(2 x + 1 \right)}}{\tan^{2}{\left(5 x \right)}} + 50 \left(\tan^{2}{\left(5 x \right)} + 1\right) \operatorname{asin}{\left(2 x + 1 \right)} + \frac{20 \left(\tan^{2}{\left(5 x \right)} + 1\right)}{\sqrt{1 - \left(2 x + 1\right)^{2}} \tan{\left(5 x \right)}} + \frac{4 \left(2 x + 1\right) \log{\left(\tan{\left(5 x \right)} \right)}}{\left(1 - \left(2 x + 1\right)^{2}\right)^{\frac{3}{2}}}\right) + \frac{250 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{3} \operatorname{asin}{\left(2 x + 1 \right)}}{\tan^{3}{\left(5 x \right)}} - \frac{500 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2} \operatorname{asin}{\left(2 x + 1 \right)}}{\tan{\left(5 x \right)}} + 500 \left(\tan^{2}{\left(5 x \right)} + 1\right) \tan{\left(5 x \right)} \operatorname{asin}{\left(2 x + 1 \right)} - \frac{150 \left(\tan^{2}{\left(5 x \right)} + 1\right)^{2}}{\sqrt{1 - \left(2 x + 1\right)^{2}} \tan^{2}{\left(5 x \right)}} + \frac{300 \left(\tan^{2}{\left(5 x \right)} + 1\right)}{\sqrt{1 - \left(2 x + 1\right)^{2}}} + \frac{60 \left(2 x + 1\right) \left(\tan^{2}{\left(5 x \right)} + 1\right)}{\left(1 - \left(2 x + 1\right)^{2}\right)^{\frac{3}{2}} \tan{\left(5 x \right)}} + \frac{8 \log{\left(\tan{\left(5 x \right)} \right)}}{\left(1 - \left(2 x + 1\right)^{2}\right)^{\frac{3}{2}}} + \frac{24 \left(2 x + 1\right)^{2} \log{\left(\tan{\left(5 x \right)} \right)}}{\left(1 - \left(2 x + 1\right)^{2}\right)^{\frac{5}{2}}}\right) \tan^{\operatorname{asin}{\left(2 x + 1 \right)}}{\left(5 x \right)}$$
Gráfico