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 -5*tan(2*t)-4*cot(4*t)
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Derivada de (3x+6)^2
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Derivada de 3^(x*x)
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Derivada de 2*x-8/x
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Expresiones idénticas
- x*exparcsin(tgx)(-x)
- x multiplicar por exponente de arc seno de (tgx)( menos x)
- xexparcsin(tgx)(-x)
- xexparcsintgx-x
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Expresiones semejantes
- x*exparcsin(tgx)(x)
Derivada de x*exparcsin(tgx)(-x)
Solución
Ha introducido
[src]
asin(tan(x)) x*e *(-x)
$$- x x e^{\operatorname{asin}{\left(\tan{\left(x \right)} \right)}}$$
(x*exp(asin(tan(x))))*(-x)
Primera derivada
[src]
/ / 2 \ asin(tan(x)) \
|x*\1 + tan (x)/*e asin(tan(x))| asin(tan(x))
- x*|----------------------------- + e | - x*e
| _____________ |
| / 2 |
\ \/ 1 - tan (x) /
$$- x \left(\frac{x \left(\tan^{2}{\left(x \right)} + 1\right) e^{\operatorname{asin}{\left(\tan{\left(x \right)} \right)}}}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + e^{\operatorname{asin}{\left(\tan{\left(x \right)} \right)}}\right) - x e^{\operatorname{asin}{\left(\tan{\left(x \right)} \right)}}$$
Segunda derivada
[src]
/ / / 2 / 2 \ \\ / 2 \\ | / 2 \ | 2 | 1 + tan (x) 2*tan(x) \1 + tan (x)/*tan(x)|| 2*x*\1 + tan (x)/| asin(tan(x)) -|2 + x*\1 + tan (x)/*|---------------- + x*|- ------------ + ---------------- + --------------------|| + -----------------|*e | | _____________ | 2 _____________ 3/2 || _____________| | | / 2 | -1 + tan (x) / 2 / 2 \ || / 2 | \ \\/ 1 - tan (x) \ \/ 1 - tan (x) \1 - tan (x)/ // \/ 1 - tan (x) /
$$- \left(x \left(x \left(- \frac{\tan^{2}{\left(x \right)} + 1}{\tan^{2}{\left(x \right)} - 1} + \frac{2 \tan{\left(x \right)}}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + \frac{\left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\right) + \frac{2}{\sqrt{1 - \tan^{2}{\left(x \right)}}}\right) \left(\tan^{2}{\left(x \right)} + 1\right) + \frac{2 x \left(\tan^{2}{\left(x \right)} + 1\right)}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + 2\right) e^{\operatorname{asin}{\left(\tan{\left(x \right)} \right)}}$$
Tercera derivada
[src]
/ / / 2 2 2 \ \ \
| | | / 2 \ / 2 \ 2 / 2 \ / 2 \ 2 / 2 \ 2 / 2 \| / 2 \ / 2 \ | / 2 / 2 \ \|
/ 2 \ | 6 | |2*\1 + tan (x)/ 2*\1 + tan (x)/ 4*tan (x) 6*\1 + tan (x)/*tan(x) 3*\1 + tan (x)/ *tan (x) 3*\1 + tan (x)/ *tan(x) 6*tan (x)*\1 + tan (x)/| 3*\1 + tan (x)/ 6*tan(x) 3*\1 + tan (x)/*tan(x)| | 1 + tan (x) 2*tan(x) \1 + tan (x)/*tan(x)|| asin(tan(x))
-\1 + tan (x)/*|---------------- + x*|x*|---------------- + ---------------- + ---------------- - ---------------------- + ------------------------ + ----------------------- + -----------------------| - --------------- + ---------------- + ----------------------| + 3*x*|- ------------ + ---------------- + --------------------||*e
| _____________ | | 3/2 _____________ _____________ 2 5/2 2 3/2 | 2 _____________ 3/2 | | 2 _____________ 3/2 ||
| / 2 | |/ 2 \ / 2 / 2 -1 + tan (x) / 2 \ / 2 \ / 2 \ | -1 + tan (x) / 2 / 2 \ | | -1 + tan (x) / 2 / 2 \ ||
\\/ 1 - tan (x) \ \\1 - tan (x)/ \/ 1 - tan (x) \/ 1 - tan (x) \1 - tan (x)/ \-1 + tan (x)/ \1 - tan (x)/ / \/ 1 - tan (x) \1 - tan (x)/ / \ \/ 1 - tan (x) \1 - tan (x)/ //
$$- \left(\tan^{2}{\left(x \right)} + 1\right) \left(3 x \left(- \frac{\tan^{2}{\left(x \right)} + 1}{\tan^{2}{\left(x \right)} - 1} + \frac{2 \tan{\left(x \right)}}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + \frac{\left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\right) + x \left(x \left(- \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\tan^{2}{\left(x \right)} - 1} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan{\left(x \right)}}{\left(\tan^{2}{\left(x \right)} - 1\right)^{2}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + \frac{4 \tan^{2}{\left(x \right)}}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{\frac{3}{2}}} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{\frac{3}{2}}} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan^{2}{\left(x \right)}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\right) - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan^{2}{\left(x \right)} - 1} + \frac{6 \tan{\left(x \right)}}{\sqrt{1 - \tan^{2}{\left(x \right)}}} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\right) + \frac{6}{\sqrt{1 - \tan^{2}{\left(x \right)}}}\right) e^{\operatorname{asin}{\left(\tan{\left(x \right)} \right)}}$$
Gráfico