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 (-4)/x^2
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Derivada de 2/x²
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Derivada de -2*y
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Derivada de (3+2x)/(x-5)
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Expresiones idénticas
- е^arcsin(√ uno -x)arctglnx
- е en el grado arc seno de (√1 menos x)arctglnx
- е en el grado arc seno de (√ uno menos x)arctglnx
- еarcsin(√1-x)arctglnx
- еarcsin√1-xarctglnx
- е^arcsin√1-xarctglnx
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Expresiones semejantes
- е^arcsin(√1+x)arctglnx
Derivada de е^arcsin(√1-x)arctglnx
Solución
Ha introducido
[src]
/ ___ \ asin\\/ 1 - x/ E *atan(log(x))
$$e^{\operatorname{asin}{\left(- x + \sqrt{1} \right)}} \operatorname{atan}{\left(\log{\left(x \right)} \right)}$$
E^asin(sqrt(1) - x)*atan(log(x))
Primera derivada
[src]
/ ___ \ / ___ \
asin\\/ 1 - x/ asin\\/ 1 - x/
e atan(log(x))*e
---------------- - -----------------------------
/ 2 \ __________________
x*\1 + log (x)/ / 2
/ / ___ \
\/ 1 - \\/ 1 - x/
$$- \frac{e^{\operatorname{asin}{\left(- x + \sqrt{1} \right)}} \operatorname{atan}{\left(\log{\left(x \right)} \right)}}{\sqrt{1 - \left(- x + \sqrt{1}\right)^{2}}} + \frac{e^{\operatorname{asin}{\left(- x + \sqrt{1} \right)}}}{x \left(\log{\left(x \right)}^{2} + 1\right)}$$
Segunda derivada
[src]
/ 2*log(x) \ | 1 + ----------- | | 2 | |/ 1 -1 + x \ 1 + log (x) 2 | -asin(-1 + x) -||-------------- + -----------------|*atan(log(x)) + ---------------- + ---------------------------------|*e || 2 3/2| 2 / 2 \ ______________| ||-1 + (-1 + x) / 2\ | x *\1 + log (x)/ / 2 \ / 2 | \\ \1 - (1 - x) / / x*\1 + log (x)/*\/ 1 - (1 - x) /
$$- \left(\left(\frac{1}{\left(x - 1\right)^{2} - 1} + \frac{x - 1}{\left(1 - \left(1 - x\right)^{2}\right)^{\frac{3}{2}}}\right) \operatorname{atan}{\left(\log{\left(x \right)} \right)} + \frac{2}{x \sqrt{1 - \left(1 - x\right)^{2}} \left(\log{\left(x \right)}^{2} + 1\right)} + \frac{1 + \frac{2 \log{\left(x \right)}}{\log{\left(x \right)}^{2} + 1}}{x^{2} \left(\log{\left(x \right)}^{2} + 1\right)}\right) e^{- \operatorname{asin}{\left(x - 1 \right)}}$$
Tercera derivada
[src]
/ / 2 \ \ | / 1 -1 + x \ | 1 3*log(x) 4*log (x) | | | 3*|-------------- + -----------------| 2*|1 - ----------- + ----------- + --------------| / 2*log(x) \ | | | 2 3/2| | 2 2 2| 3*|1 + -----------| | | / 2 \ |-1 + (-1 + x) / 2\ | | 1 + log (x) 1 + log (x) / 2 \ | | 2 | | | | 2 3*(-1 + x) 3*(-1 + x) | \ \1 - (1 - x) / / \ \1 + log (x)/ / \ 1 + log (x)/ | -asin(-1 + x) |- |----------------- - ----------------- + -----------------|*atan(log(x)) - -------------------------------------- + -------------------------------------------------- + ----------------------------------|*e | | 3/2 2 5/2| / 2 \ 3 / 2 \ ______________| | |/ 2\ / 2\ / 2\ | x*\1 + log (x)/ x *\1 + log (x)/ 2 / 2 \ / 2 | \ \\1 - (1 - x) / \-1 + (-1 + x) / \1 - (1 - x) / / x *\1 + log (x)/*\/ 1 - (1 - x) /
$$\left(- \left(- \frac{3 \left(x - 1\right)}{\left(\left(x - 1\right)^{2} - 1\right)^{2}} + \frac{2}{\left(1 - \left(1 - x\right)^{2}\right)^{\frac{3}{2}}} + \frac{3 \left(x - 1\right)^{2}}{\left(1 - \left(1 - x\right)^{2}\right)^{\frac{5}{2}}}\right) \operatorname{atan}{\left(\log{\left(x \right)} \right)} - \frac{3 \left(\frac{1}{\left(x - 1\right)^{2} - 1} + \frac{x - 1}{\left(1 - \left(1 - x\right)^{2}\right)^{\frac{3}{2}}}\right)}{x \left(\log{\left(x \right)}^{2} + 1\right)} + \frac{3 \left(1 + \frac{2 \log{\left(x \right)}}{\log{\left(x \right)}^{2} + 1}\right)}{x^{2} \sqrt{1 - \left(1 - x\right)^{2}} \left(\log{\left(x \right)}^{2} + 1\right)} + \frac{2 \left(1 + \frac{3 \log{\left(x \right)}}{\log{\left(x \right)}^{2} + 1} - \frac{1}{\log{\left(x \right)}^{2} + 1} + \frac{4 \log{\left(x \right)}^{2}}{\left(\log{\left(x \right)}^{2} + 1\right)^{2}}\right)}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)}\right) e^{- \operatorname{asin}{\left(x - 1 \right)}}$$
Gráfico