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
- Integral de d{x}:
- y(x)
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Expresiones idénticas
- y(x)=-7x(arctg4x)10sin(7x)
- y(x) es igual a menos 7x(arctg4x)10 seno de (7x)
- yx=-7xarctg4x10sin7x
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Expresiones semejantes
- y(x)=+7x(arctg4x)10sin(7x)
Derivada de y(x)=-7x(arctg4x)10sin(7x)
Solución
Ha introducido
[src]
-7*x*atan(4*x)*10*sin(7*x)
$$10 \cdot - 7 x \operatorname{atan}{\left(4 x \right)} \sin{\left(7 x \right)}$$
(((-7*x)*atan(4*x))*10)*sin(7*x)
Primera derivada
[src]
/ 280*x \ |-70*atan(4*x) - ---------|*sin(7*x) - 490*x*atan(4*x)*cos(7*x) | 2| \ 1 + 16*x /
$$- 490 x \cos{\left(7 x \right)} \operatorname{atan}{\left(4 x \right)} + \left(- \frac{280 x}{16 x^{2} + 1} - 70 \operatorname{atan}{\left(4 x \right)}\right) \sin{\left(7 x \right)}$$
Segunda derivada
[src]
/ / 2 \ \ | | 16*x | | | 8*|-1 + ---------|*sin(7*x) | | | 2| | | / 4*x \ \ 1 + 16*x / | 70*|- 14*|--------- + atan(4*x)|*cos(7*x) + --------------------------- + 49*x*atan(4*x)*sin(7*x)| | | 2 | 2 | \ \1 + 16*x / 1 + 16*x /
$$70 \left(49 x \sin{\left(7 x \right)} \operatorname{atan}{\left(4 x \right)} - 14 \left(\frac{4 x}{16 x^{2} + 1} + \operatorname{atan}{\left(4 x \right)}\right) \cos{\left(7 x \right)} + \frac{8 \left(\frac{16 x^{2}}{16 x^{2} + 1} - 1\right) \sin{\left(7 x \right)}}{16 x^{2} + 1}\right)$$
Tercera derivada
[src]
/ / 2 \ / 2 \ \ | | 16*x | | 16*x | | | 168*|-1 + ---------|*cos(7*x) 512*x*|-1 + ---------|*sin(7*x)| | | 2| | 2| | | / 4*x \ \ 1 + 16*x / \ 1 + 16*x / | 70*|147*|--------- + atan(4*x)|*sin(7*x) + ----------------------------- + 343*x*atan(4*x)*cos(7*x) - -------------------------------| | | 2 | 2 2 | | \1 + 16*x / 1 + 16*x / 2\ | \ \1 + 16*x / /
$$70 \left(343 x \cos{\left(7 x \right)} \operatorname{atan}{\left(4 x \right)} - \frac{512 x \left(\frac{16 x^{2}}{16 x^{2} + 1} - 1\right) \sin{\left(7 x \right)}}{\left(16 x^{2} + 1\right)^{2}} + 147 \left(\frac{4 x}{16 x^{2} + 1} + \operatorname{atan}{\left(4 x \right)}\right) \sin{\left(7 x \right)} + \frac{168 \left(\frac{16 x^{2}}{16 x^{2} + 1} - 1\right) \cos{\left(7 x \right)}}{16 x^{2} + 1}\right)$$
Gráfico