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+12)e^(12-x)
- Derivada de u/v
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Derivada de t+1
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Derivada de (sqrt(x)-1)/(sqrt(x^2)-x-1)
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Expresiones idénticas
- y= dos ^sinxarcctgxx^ cuatro
- y es igual a 2 en el grado seno de xarcctgxx en el grado 4
- y es igual a dos en el grado seno de xarcctgxx en el grado cuatro
- y=2sinxarcctgxx4
- y=2^sinxarcctgxx⁴
Derivada de y=2^sinxarcctgxx^4
Solución
Ha introducido
[src]
sin(x) 4 2 *acot(x)*x
$$x^{4} \cdot 2^{\sin{\left(x \right)}} \operatorname{acot}{\left(x \right)}$$
(2^sin(x)*acot(x))*x^4
Primera derivada
[src]
/ sin(x) \ 4 | 2 sin(x) | sin(x) 3 x *|- ------- + 2 *acot(x)*cos(x)*log(2)| + 4*2 *x *acot(x) | 2 | \ 1 + x /
$$4 \cdot 2^{\sin{\left(x \right)}} x^{3} \operatorname{acot}{\left(x \right)} + x^{4} \left(2^{\sin{\left(x \right)}} \log{\left(2 \right)} \cos{\left(x \right)} \operatorname{acot}{\left(x \right)} - \frac{2^{\sin{\left(x \right)}}}{x^{2} + 1}\right)$$
Segunda derivada
[src]
sin(x) 2 / 2 / 2*x / 2 \ 2*cos(x)*log(2)\ / 1 \\
2 *x *|12*acot(x) - x *|- --------- + \- cos (x)*log(2) + sin(x)/*acot(x)*log(2) + ---------------| + 8*x*|- ------ + acot(x)*cos(x)*log(2)||
| | 2 2 | | 2 ||
| | / 2\ 1 + x | \ 1 + x /|
\ \ \1 + x / / /
$$2^{\sin{\left(x \right)}} x^{2} \left(- x^{2} \left(- \frac{2 x}{\left(x^{2} + 1\right)^{2}} + \left(\sin{\left(x \right)} - \log{\left(2 \right)} \cos^{2}{\left(x \right)}\right) \log{\left(2 \right)} \operatorname{acot}{\left(x \right)} + \frac{2 \log{\left(2 \right)} \cos{\left(x \right)}}{x^{2} + 1}\right) + 8 x \left(\log{\left(2 \right)} \cos{\left(x \right)} \operatorname{acot}{\left(x \right)} - \frac{1}{x^{2} + 1}\right) + 12 \operatorname{acot}{\left(x \right)}\right)$$
Tercera derivada
[src]
/ / / 2 \ \ \
| | | 4*x | | |
| | 2*|-1 + ------| | |
| | | 2| / 2 \ | |
sin(x) | 3 | \ 1 + x / 3*\- cos (x)*log(2) + sin(x)/*log(2) / 2 2 \ 6*x*cos(x)*log(2)| 2 / 2*x / 2 \ 2*cos(x)*log(2)\ / 1 \|
x*2 *|24*acot(x) + x *|- --------------- + ------------------------------------ - \1 - cos (x)*log (2) + 3*log(2)*sin(x)/*acot(x)*cos(x)*log(2) + -----------------| - 12*x *|- --------- + \- cos (x)*log(2) + sin(x)/*acot(x)*log(2) + ---------------| + 36*x*|- ------ + acot(x)*cos(x)*log(2)||
| | 2 2 2 | | 2 2 | | 2 ||
| | / 2\ 1 + x / 2\ | | / 2\ 1 + x | \ 1 + x /|
\ \ \1 + x / \1 + x / / \ \1 + x / / /
$$2^{\sin{\left(x \right)}} x \left(x^{3} \left(\frac{6 x \log{\left(2 \right)} \cos{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} - \left(3 \log{\left(2 \right)} \sin{\left(x \right)} - \log{\left(2 \right)}^{2} \cos^{2}{\left(x \right)} + 1\right) \log{\left(2 \right)} \cos{\left(x \right)} \operatorname{acot}{\left(x \right)} + \frac{3 \left(\sin{\left(x \right)} - \log{\left(2 \right)} \cos^{2}{\left(x \right)}\right) \log{\left(2 \right)}}{x^{2} + 1} - \frac{2 \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{2}}\right) - 12 x^{2} \left(- \frac{2 x}{\left(x^{2} + 1\right)^{2}} + \left(\sin{\left(x \right)} - \log{\left(2 \right)} \cos^{2}{\left(x \right)}\right) \log{\left(2 \right)} \operatorname{acot}{\left(x \right)} + \frac{2 \log{\left(2 \right)} \cos{\left(x \right)}}{x^{2} + 1}\right) + 36 x \left(\log{\left(2 \right)} \cos{\left(x \right)} \operatorname{acot}{\left(x \right)} - \frac{1}{x^{2} + 1}\right) + 24 \operatorname{acot}{\left(x \right)}\right)$$
Gráfico