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 1/(x+3)
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Derivada de 4*y
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Derivada de (2x-7)^8
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Derivada de (-1)/x-3*x
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Expresiones idénticas
- (x+x^ dos)^(tan(2x))
- (x más x al cuadrado ) en el grado ( tangente de (2x))
- (x más x en el grado dos) en el grado ( tangente de (2x))
- (x+x2)(tan(2x))
- x+x2tan2x
- (x+x²)^(tan(2x))
- (x+x en el grado 2) en el grado (tan(2x))
- x+x^2^tan2x
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Expresiones semejantes
- (x-x^2)^(tan(2x))
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Expresiones con funciones
- Tangente tan
- tan(3*y)
- tan(3*x-pi/6)
Derivada de (x+x^2)^(tan(2x))
Solución
Ha introducido
[src]
tan(2*x) / 2\ \x + x /
$$\left(x^{2} + x\right)^{\tan{\left(2 x \right)}}$$
(x + x^2)^tan(2*x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
tan(2*x)
/ 2\ // 2 \ / 2\ (1 + 2*x)*tan(2*x)\
\x + x / *|\2 + 2*tan (2*x)/*log\x + x / + ------------------|
| 2 |
\ x + x /
$$\left(x^{2} + x\right)^{\tan{\left(2 x \right)}} \left(\frac{\left(2 x + 1\right) \tan{\left(2 x \right)}}{x^{2} + x} + \left(2 \tan^{2}{\left(2 x \right)} + 2\right) \log{\left(x^{2} + x \right)}\right)$$
Segunda derivada
[src]
/ 2 2 / 2 \ \
tan(2*x) |/ / 2 \ (1 + 2*x)*tan(2*x)\ 2*tan(2*x) / 2 \ (1 + 2*x) *tan(2*x) 4*\1 + tan (2*x)/*(1 + 2*x)|
(x*(1 + x)) *||2*\1 + tan (2*x)/*log(x*(1 + x)) + ------------------| + ---------- + 8*\1 + tan (2*x)/*log(x*(1 + x))*tan(2*x) - ------------------- + ---------------------------|
|\ x*(1 + x) / x*(1 + x) 2 2 x*(1 + x) |
\ x *(1 + x) /
$$\left(x \left(x + 1\right)\right)^{\tan{\left(2 x \right)}} \left(\left(2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \log{\left(x \left(x + 1\right) \right)} + \frac{\left(2 x + 1\right) \tan{\left(2 x \right)}}{x \left(x + 1\right)}\right)^{2} + 8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \log{\left(x \left(x + 1\right) \right)} \tan{\left(2 x \right)} + \frac{4 \left(2 x + 1\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x \left(x + 1\right)} + \frac{2 \tan{\left(2 x \right)}}{x \left(x + 1\right)} - \frac{\left(2 x + 1\right)^{2} \tan{\left(2 x \right)}}{x^{2} \left(x + 1\right)^{2}}\right)$$
Tercera derivada
[src]
/ 3 / 2 / 2 \ \ 2 / 2 \ 2 / 2 \ 3 / 2 \ \
tan(2*x) |/ / 2 \ (1 + 2*x)*tan(2*x)\ / / 2 \ (1 + 2*x)*tan(2*x)\ |2*tan(2*x) / 2 \ (1 + 2*x) *tan(2*x) 4*\1 + tan (2*x)/*(1 + 2*x)| / 2 \ 12*\1 + tan (2*x)/ 2 / 2 \ 6*(1 + 2*x) *\1 + tan (2*x)/ 6*(1 + 2*x)*tan(2*x) 2*(1 + 2*x) *tan(2*x) 24*\1 + tan (2*x)/*(1 + 2*x)*tan(2*x)|
(x*(1 + x)) *||2*\1 + tan (2*x)/*log(x*(1 + x)) + ------------------| + 3*|2*\1 + tan (2*x)/*log(x*(1 + x)) + ------------------|*|---------- + 8*\1 + tan (2*x)/*log(x*(1 + x))*tan(2*x) - ------------------- + ---------------------------| + 16*\1 + tan (2*x)/ *log(x*(1 + x)) + ------------------ + 32*tan (2*x)*\1 + tan (2*x)/*log(x*(1 + x)) - ---------------------------- - -------------------- + --------------------- + -------------------------------------|
|\ x*(1 + x) / \ x*(1 + x) / |x*(1 + x) 2 2 x*(1 + x) | x*(1 + x) 2 2 2 2 3 3 x*(1 + x) |
\ \ x *(1 + x) / x *(1 + x) x *(1 + x) x *(1 + x) /
$$\left(x \left(x + 1\right)\right)^{\tan{\left(2 x \right)}} \left(\left(2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \log{\left(x \left(x + 1\right) \right)} + \frac{\left(2 x + 1\right) \tan{\left(2 x \right)}}{x \left(x + 1\right)}\right)^{3} + 3 \left(2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \log{\left(x \left(x + 1\right) \right)} + \frac{\left(2 x + 1\right) \tan{\left(2 x \right)}}{x \left(x + 1\right)}\right) \left(8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \log{\left(x \left(x + 1\right) \right)} \tan{\left(2 x \right)} + \frac{4 \left(2 x + 1\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x \left(x + 1\right)} + \frac{2 \tan{\left(2 x \right)}}{x \left(x + 1\right)} - \frac{\left(2 x + 1\right)^{2} \tan{\left(2 x \right)}}{x^{2} \left(x + 1\right)^{2}}\right) + 16 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \log{\left(x \left(x + 1\right) \right)} + 32 \left(\tan^{2}{\left(2 x \right)} + 1\right) \log{\left(x \left(x + 1\right) \right)} \tan^{2}{\left(2 x \right)} + \frac{24 \left(2 x + 1\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{x \left(x + 1\right)} + \frac{12 \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x \left(x + 1\right)} - \frac{6 \left(2 x + 1\right)^{2} \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x^{2} \left(x + 1\right)^{2}} - \frac{6 \left(2 x + 1\right) \tan{\left(2 x \right)}}{x^{2} \left(x + 1\right)^{2}} + \frac{2 \left(2 x + 1\right)^{3} \tan{\left(2 x \right)}}{x^{3} \left(x + 1\right)^{3}}\right)$$
Gráfico