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 (3x^4-x)^7
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Derivada de (3x+6)^2
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Derivada de (1+cos(x))/(1-cos(x))
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Derivada de (2*x-9)/(x-5)
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Expresiones idénticas
- xe^arctg(sqrt2x- uno)
- xe en el grado arctg( raíz cuadrada de 2x menos 1)
- xe en el grado arctg( raíz cuadrada de 2x menos uno)
- xe^arctg(√2x-1)
- xearctg(sqrt2x-1)
- xearctgsqrt2x-1
- xe^arctgsqrt2x-1
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Expresiones semejantes
- xe^arctg(sqrt2x+1)
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Expresiones con funciones
- xe
- xe^(x*5,5)
- xe^(x-2)+3
- xe^x+2-2x+3
- xe^(-(x^2)/2)
- xe^(-(x^(2))/(2))
Derivada de xe^arctg(sqrt2x-1)
Solución
Ha introducido
[src]
/ _____ \ atan\\/ 2*x - 1/ x*E
$$e^{\operatorname{atan}{\left(\sqrt{2 x} - 1 \right)}} x$$
x*E^atan(sqrt(2*x) - 1)
Primera derivada
[src]
/ _____ \
/ _____ \ ___ ___ atan\\/ 2*x - 1/
atan\\/ 2*x - 1/ \/ 2 *\/ x *e
E + ------------------------------
/ 2\
| / _____ \ |
2*\1 + \\/ 2*x - 1/ /
$$e^{\operatorname{atan}{\left(\sqrt{2 x} - 1 \right)}} + \frac{\sqrt{2} \sqrt{x} e^{\operatorname{atan}{\left(\sqrt{2 x} - 1 \right)}}}{2 \left(\left(\sqrt{2 x} - 1\right)^{2} + 1\right)}$$
Segunda derivada
[src]
/ / ___ / ___ ___\ \\
| |\/ 2 2 4*\-1 + \/ 2 *\/ x / ||
| x*|----- - --------------------------- + ---------------------------||
| | 3/2 / 2\ / 2\||
| ___ | x | / ___ ___\ | | / ___ ___\ ||| / ___ ___\
|\/ 2 \ x*\1 + \-1 + \/ 2 *\/ x / / x*\1 + \-1 + \/ 2 *\/ x / //| atan\-1 + \/ 2 *\/ x /
|----- - ---------------------------------------------------------------------|*e
| ___ 4 |
\\/ x /
-------------------------------------------------------------------------------------------------------
2
/ ___ ___\
1 + \-1 + \/ 2 *\/ x /
$$\frac{\left(- \frac{x \left(\frac{4 \left(\sqrt{2} \sqrt{x} - 1\right)}{x \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)} - \frac{2}{x \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)} + \frac{\sqrt{2}}{x^{\frac{3}{2}}}\right)}{4} + \frac{\sqrt{2}}{\sqrt{x}}\right) e^{\operatorname{atan}{\left(\sqrt{2} \sqrt{x} - 1 \right)}}}{\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1}$$
Tercera derivada
[src]
/ / 2 \ \
| | ___ ___ ___ / ___ ___\ ___ / ___ ___\ ___ / ___ ___\ | |
| | 6 3*\/ 2 4*\/ 2 2*\/ 2 12*\-1 + \/ 2 *\/ x / 12*\/ 2 *\-1 + \/ 2 *\/ x / 16*\/ 2 *\-1 + \/ 2 *\/ x / | |
| x*|- ---------------------------- + ------- - ------------------------------ + ------------------------------- + ---------------------------- - ------------------------------- + -------------------------------| |
| | / 2\ 5/2 / 2\ 2 / 2\ 2 2| |
| | 2 | / ___ ___\ | x 3/2 | / ___ ___\ | / 2\ 2 | / ___ ___\ | / 2\ / 2\ | |
| ___ | x *\1 + \-1 + \/ 2 *\/ x / / x *\1 + \-1 + \/ 2 *\/ x / / 3/2 | / ___ ___\ | x *\1 + \-1 + \/ 2 *\/ x / / 3/2 | / ___ ___\ | 3/2 | / ___ ___\ | | / ___ ___\ | / ___ ___\
| 3*\/ 2 \ x *\1 + \-1 + \/ 2 *\/ x / / x *\1 + \-1 + \/ 2 *\/ x / / x *\1 + \-1 + \/ 2 *\/ x / / / 3 3*\-1 + \/ 2 *\/ x / | atan\-1 + \/ 2 *\/ x /
|- ------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ----------------------------- - ---------------------------|*e
| 3/2 8 / 2\ / 2\|
| 4*x | / ___ ___\ | | / ___ ___\ ||
\ 2*x*\1 + \-1 + \/ 2 *\/ x / / x*\1 + \-1 + \/ 2 *\/ x / //
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2
/ ___ ___\
1 + \-1 + \/ 2 *\/ x /
$$\frac{\left(\frac{x \left(\frac{12 \left(\sqrt{2} \sqrt{x} - 1\right)}{x^{2} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)} - \frac{6}{x^{2} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)} + \frac{16 \sqrt{2} \left(\sqrt{2} \sqrt{x} - 1\right)^{2}}{x^{\frac{3}{2}} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)^{2}} - \frac{12 \sqrt{2} \left(\sqrt{2} \sqrt{x} - 1\right)}{x^{\frac{3}{2}} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)^{2}} - \frac{4 \sqrt{2}}{x^{\frac{3}{2}} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)} + \frac{2 \sqrt{2}}{x^{\frac{3}{2}} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)^{2}} + \frac{3 \sqrt{2}}{x^{\frac{5}{2}}}\right)}{8} - \frac{3 \left(\sqrt{2} \sqrt{x} - 1\right)}{x \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)} + \frac{3}{2 x \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)} - \frac{3 \sqrt{2}}{4 x^{\frac{3}{2}}}\right) e^{\operatorname{atan}{\left(\sqrt{2} \sqrt{x} - 1 \right)}}}{\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1}$$
Gráfico