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 e^x*sin(x)
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Derivada de x*e^(1/x)
- Derivada de x!
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Derivada de e^y
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Expresiones idénticas
- y=(arctg^ tres)*(4x* tres ^sinx)
- y es igual a (arctg al cubo ) multiplicar por (4x multiplicar por 3 en el grado seno de x)
- y es igual a (arctg en el grado tres) multiplicar por (4x multiplicar por tres en el grado seno de x)
- y=(arctg3)*(4x*3sinx)
- y=arctg3*4x*3sinx
- y=(arctg³)*(4x*3^sinx)
- y=(arctg en el grado 3)*(4x*3 en el grado sinx)
- y=(arctg^3)(4x3^sinx)
- y=(arctg3)(4x3sinx)
- y=arctg34x3sinx
- y=arctg^34x3^sinx
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Expresiones con funciones
- arctg
- arctg(sqrt(x))
- arctg^2(1/x)
- arctg(cos(x))
- arctg(x+cosx)
- sinx
- sinx/(3-2cos(x))
Derivada de y=(arctg^3)*(4x*3^sinx)
Solución
Ha introducido
[src]
3 sin(x) atan (x)*4*x*3
$$3^{\sin{\left(x \right)}} 4 x \operatorname{atan}^{3}{\left(x \right)}$$
atan(x)^3*((4*x)*3^sin(x))
Primera derivada
[src]
sin(x) 2
3 / sin(x) sin(x) \ 12*x*3 *atan (x)
atan (x)*\4*3 + 4*x*3 *cos(x)*log(3)/ + ---------------------
2
1 + x
$$\frac{12 \cdot 3^{\sin{\left(x \right)}} x \operatorname{atan}^{2}{\left(x \right)}}{x^{2} + 1} + \left(4 \cdot 3^{\sin{\left(x \right)}} x \log{\left(3 \right)} \cos{\left(x \right)} + 4 \cdot 3^{\sin{\left(x \right)}}\right) \operatorname{atan}^{3}{\left(x \right)}$$
Segunda derivada
[src]
sin(x) / 2 / / 2 \\ 6*x*(-1 + x*atan(x)) 6*(1 + x*cos(x)*log(3))*atan(x)\
4*3 *|- atan (x)*\-2*cos(x) + x*\- cos (x)*log(3) + sin(x)//*log(3) - -------------------- + -------------------------------|*atan(x)
| 2 2 |
| / 2\ 1 + x |
\ \1 + x / /
$$4 \cdot 3^{\sin{\left(x \right)}} \left(- \frac{6 x \left(x \operatorname{atan}{\left(x \right)} - 1\right)}{\left(x^{2} + 1\right)^{2}} - \left(x \left(\sin{\left(x \right)} - \log{\left(3 \right)} \cos^{2}{\left(x \right)}\right) - 2 \cos{\left(x \right)}\right) \log{\left(3 \right)} \operatorname{atan}^{2}{\left(x \right)} + \frac{6 \left(x \log{\left(3 \right)} \cos{\left(x \right)} + 1\right) \operatorname{atan}{\left(x \right)}}{x^{2} + 1}\right) \operatorname{atan}{\left(x \right)}$$
Tercera derivada
[src]
/ / 2 2 \ \
| | 1 2 6*x*atan(x) 4*x *atan (x)| |
| 6*x*|------ - atan (x) - ----------- + -------------| |
| | 2 2 2 | 2 / / 2 \\ |
sin(x) | 3 / 2 / 2 2 \ \ \1 + x 1 + x 1 + x / 18*(1 + x*cos(x)*log(3))*(-1 + x*atan(x))*atan(x) 9*atan (x)*\-2*cos(x) + x*\- cos (x)*log(3) + sin(x)//*log(3)|
4*3 *|- atan (x)*\3*sin(x) - 3*cos (x)*log(3) + x*\1 - cos (x)*log (3) + 3*log(3)*sin(x)/*cos(x)/*log(3) + ----------------------------------------------------- - ------------------------------------------------- - -------------------------------------------------------------|
| 2 2 2 |
| / 2\ / 2\ 1 + x |
\ \1 + x / \1 + x / /
$$4 \cdot 3^{\sin{\left(x \right)}} \left(\frac{6 x \left(\frac{4 x^{2} \operatorname{atan}^{2}{\left(x \right)}}{x^{2} + 1} - \frac{6 x \operatorname{atan}{\left(x \right)}}{x^{2} + 1} - \operatorname{atan}^{2}{\left(x \right)} + \frac{1}{x^{2} + 1}\right)}{\left(x^{2} + 1\right)^{2}} - \left(x \left(3 \log{\left(3 \right)} \sin{\left(x \right)} - \log{\left(3 \right)}^{2} \cos^{2}{\left(x \right)} + 1\right) \cos{\left(x \right)} + 3 \sin{\left(x \right)} - 3 \log{\left(3 \right)} \cos^{2}{\left(x \right)}\right) \log{\left(3 \right)} \operatorname{atan}^{3}{\left(x \right)} - \frac{9 \left(x \left(\sin{\left(x \right)} - \log{\left(3 \right)} \cos^{2}{\left(x \right)}\right) - 2 \cos{\left(x \right)}\right) \log{\left(3 \right)} \operatorname{atan}^{2}{\left(x \right)}}{x^{2} + 1} - \frac{18 \left(x \operatorname{atan}{\left(x \right)} - 1\right) \left(x \log{\left(3 \right)} \cos{\left(x \right)} + 1\right) \operatorname{atan}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}}\right)$$
Gráfico