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 е^(sqrt(x)-1)
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Derivada de (е^sinx-1)^3
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Derivada de е*cos(x)
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Derivada de е*(ln(arctg(x-1)+e))^(-0,5)
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Expresiones idénticas
- е*(ln(arctg(x- uno)+e))^(- cero , cinco)
- е multiplicar por (ln(arctg(x menos 1) más e)) en el grado ( menos 0,5)
- е multiplicar por (ln(arctg(x menos uno) más e)) en el grado ( menos cero , cinco)
- е*(ln(arctg(x-1)+e))(-0,5)
- е*lnarctgx-1+e-0,5
- е(ln(arctg(x-1)+e))^(-0,5)
- е(ln(arctg(x-1)+e))(-0,5)
- еlnarctgx-1+e-0,5
- еlnarctgx-1+e^-0,5
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Expresiones semejantes
- е*(ln(arctg(x+1)+e))^(-0,5)
- е*(ln(arctg(x-1)+e))^(0,5)
- е*(ln(arctg(x-1)-e))^(-0,5)
Derivada de е*(ln(arctg(x-1)+e))^(-0,5)
Solución
Ha introducido
[src]
E ------------------------ ______________________ \/ log(atan(x - 1) + E)
$$\frac{e}{\sqrt{\log{\left(\operatorname{atan}{\left(x - 1 \right)} + e \right)}}}$$
E/sqrt(log(atan(x - 1) + E))
Primera derivada
[src]
-E ---------------------------------------------------------- / 2\ 3/2 2*\1 + (x - 1) /*(atan(x - 1) + E)*log (atan(x - 1) + E)
$$- \frac{e}{2 \left(\left(x - 1\right)^{2} + 1\right) \left(\operatorname{atan}{\left(x - 1 \right)} + e\right) \log{\left(\operatorname{atan}{\left(x - 1 \right)} + e \right)}^{\frac{3}{2}}}$$
Segunda derivada
[src]
/ 1 3 \
E*|-1 + x + -------------------- + ------------------------------------------|
\ 2*(E + atan(-1 + x)) 4*(E + atan(-1 + x))*log(E + atan(-1 + x))/
------------------------------------------------------------------------------
2
/ 2\ 3/2
\1 + (-1 + x) / *(E + atan(-1 + x))*log (E + atan(-1 + x))
$$\frac{e \left(x - 1 + \frac{1}{2 \left(\operatorname{atan}{\left(x - 1 \right)} + e\right)} + \frac{3}{4 \left(\operatorname{atan}{\left(x - 1 \right)} + e\right) \log{\left(\operatorname{atan}{\left(x - 1 \right)} + e \right)}}\right)}{\left(\left(x - 1\right)^{2} + 1\right)^{2} \left(\operatorname{atan}{\left(x - 1 \right)} + e\right) \log{\left(\operatorname{atan}{\left(x - 1 \right)} + e \right)}^{\frac{3}{2}}}$$
Tercera derivada
[src]
/ 2 \
| 1 4*(-1 + x) 3*(-1 + x) 9 15 9*(-1 + x) |
-E*|-1 + ----------------------------------- + ------------- + ---------------------------------- + ----------------------------------------------------------- + ------------------------------------------------------------ + ----------------------------------------------------------|
| / 2\ 2 2 / 2\ / 2\ 2 / 2\ 2 2 / 2\ |
\ \1 + (-1 + x) /*(E + atan(-1 + x)) 1 + (-1 + x) \1 + (-1 + x) /*(E + atan(-1 + x)) 4*\1 + (-1 + x) /*(E + atan(-1 + x)) *log(E + atan(-1 + x)) 8*\1 + (-1 + x) /*(E + atan(-1 + x)) *log (E + atan(-1 + x)) 2*\1 + (-1 + x) /*(E + atan(-1 + x))*log(E + atan(-1 + x))/
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2
/ 2\ 3/2
\1 + (-1 + x) / *(E + atan(-1 + x))*log (E + atan(-1 + x))
$$- \frac{e \left(\frac{4 \left(x - 1\right)^{2}}{\left(x - 1\right)^{2} + 1} + \frac{3 \left(x - 1\right)}{\left(\left(x - 1\right)^{2} + 1\right) \left(\operatorname{atan}{\left(x - 1 \right)} + e\right)} + \frac{9 \left(x - 1\right)}{2 \left(\left(x - 1\right)^{2} + 1\right) \left(\operatorname{atan}{\left(x - 1 \right)} + e\right) \log{\left(\operatorname{atan}{\left(x - 1 \right)} + e \right)}} - 1 + \frac{1}{\left(\left(x - 1\right)^{2} + 1\right) \left(\operatorname{atan}{\left(x - 1 \right)} + e\right)^{2}} + \frac{9}{4 \left(\left(x - 1\right)^{2} + 1\right) \left(\operatorname{atan}{\left(x - 1 \right)} + e\right)^{2} \log{\left(\operatorname{atan}{\left(x - 1 \right)} + e \right)}} + \frac{15}{8 \left(\left(x - 1\right)^{2} + 1\right) \left(\operatorname{atan}{\left(x - 1 \right)} + e\right)^{2} \log{\left(\operatorname{atan}{\left(x - 1 \right)} + e \right)}^{2}}\right)}{\left(\left(x - 1\right)^{2} + 1\right)^{2} \left(\operatorname{atan}{\left(x - 1 \right)} + e\right) \log{\left(\operatorname{atan}{\left(x - 1 \right)} + e \right)}^{\frac{3}{2}}}$$
Gráfico