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 y=8t³+3t²+2
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Derivada de y=12
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Derivada de y=(׳+1)^10
- Derivada de y=cx^2
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Expresiones idénticas
- x*exp(-x)arctg(ln(x))+ln(arctg(x))
- x multiplicar por exponente de ( menos x)arctg(ln(x)) más ln(arctg(x))
- xexp(-x)arctg(ln(x))+ln(arctg(x))
- xexp-xarctglnx+lnarctgx
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Expresiones semejantes
- x*exp(x)arctg(ln(x))+ln(arctg(x))
- x*exp(-x)arctg(ln(x))-ln(arctg(x))
Derivada de x*exp(-x)arctg(ln(x))+ln(arctg(x))
Solución
Ha introducido
[src]
-x x*e *atan(log(x)) + log(atan(x))
$$x e^{- x} \operatorname{atan}{\left(\log{\left(x \right)} \right)} + \log{\left(\operatorname{atan}{\left(x \right)} \right)}$$
(x*exp(-x))*atan(log(x)) + log(atan(x))
Primera derivada
[src]
-x
1 e / -x -x\
---------------- + ----------- + \- x*e + e /*atan(log(x))
/ 2\ 2
\1 + x /*atan(x) 1 + log (x)
$$\left(- x e^{- x} + e^{- x}\right) \operatorname{atan}{\left(\log{\left(x \right)} \right)} + \frac{e^{- x}}{\log{\left(x \right)}^{2} + 1} + \frac{1}{\left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}}$$
Segunda derivada
[src]
-x -x -x
1 e -x 2*x (-1 + x)*e 2*e *log(x)
- ------------------ - ----------- + (-2 + x)*atan(log(x))*e - ----------------- - --------------- - ----------------
2 2 2 / 2 \ 2
/ 2\ 2 1 + log (x) / 2\ x*\1 + log (x)/ / 2 \
\1 + x / *atan (x) \1 + x / *atan(x) x*\1 + log (x)/
$$- \frac{2 x}{\left(x^{2} + 1\right)^{2} \operatorname{atan}{\left(x \right)}} + \left(x - 2\right) e^{- x} \operatorname{atan}{\left(\log{\left(x \right)} \right)} - \frac{e^{- x}}{\log{\left(x \right)}^{2} + 1} - \frac{1}{\left(x^{2} + 1\right)^{2} \operatorname{atan}^{2}{\left(x \right)}} - \frac{\left(x - 1\right) e^{- x}}{x \left(\log{\left(x \right)}^{2} + 1\right)} - \frac{2 e^{- x} \log{\left(x \right)}}{x \left(\log{\left(x \right)}^{2} + 1\right)^{2}}$$
Tercera derivada
[src]
-x -x 2 -x -x -x -x 2 -x -x
e 2 2 -x 2*e 6*x 8*x (-1 + x)*e 2*(-2 + x)*e 2*e *log(x) 4*e *log(x) 8*log (x)*e 2*(-1 + x)*e *log(x)
----------- - ----------------- + ------------------ - (-3 + x)*atan(log(x))*e - ----------------- + ------------------ + ----------------- + ---------------- + --------------- + ----------------- + ---------------- + ----------------- + ---------------------
2 2 3 2 3 3 2 / 2 \ / 2 \ 2 2 3 2
1 + log (x) / 2\ / 2\ 3 2 / 2 \ / 2\ 2 / 2\ x *\1 + log (x)/ x*\1 + log (x)/ 2 / 2 \ / 2 \ 2 / 2 \ 2 / 2 \
\1 + x / *atan(x) \1 + x / *atan (x) x *\1 + log (x)/ \1 + x / *atan (x) \1 + x / *atan(x) x *\1 + log (x)/ x*\1 + log (x)/ x *\1 + log (x)/ x *\1 + log (x)/
$$\frac{8 x^{2}}{\left(x^{2} + 1\right)^{3} \operatorname{atan}{\left(x \right)}} + \frac{6 x}{\left(x^{2} + 1\right)^{3} \operatorname{atan}^{2}{\left(x \right)}} - \left(x - 3\right) e^{- x} \operatorname{atan}{\left(\log{\left(x \right)} \right)} + \frac{e^{- x}}{\log{\left(x \right)}^{2} + 1} - \frac{2}{\left(x^{2} + 1\right)^{2} \operatorname{atan}{\left(x \right)}} + \frac{2}{\left(x^{2} + 1\right)^{3} \operatorname{atan}^{3}{\left(x \right)}} + \frac{2 \left(x - 2\right) e^{- x}}{x \left(\log{\left(x \right)}^{2} + 1\right)} + \frac{4 e^{- x} \log{\left(x \right)}}{x \left(\log{\left(x \right)}^{2} + 1\right)^{2}} + \frac{\left(x - 1\right) e^{- x}}{x^{2} \left(\log{\left(x \right)}^{2} + 1\right)} + \frac{2 \left(x - 1\right) e^{- x} \log{\left(x \right)}}{x^{2} \left(\log{\left(x \right)}^{2} + 1\right)^{2}} + \frac{2 e^{- x} \log{\left(x \right)}}{x^{2} \left(\log{\left(x \right)}^{2} + 1\right)^{2}} - \frac{2 e^{- x}}{x^{2} \left(\log{\left(x \right)}^{2} + 1\right)^{2}} + \frac{8 e^{- x} \log{\left(x \right)}^{2}}{x^{2} \left(\log{\left(x \right)}^{2} + 1\right)^{3}}$$
Gráfico