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 x^4/3-x
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Derivada de x^-4/5
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Derivada de x=1
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Derivada de x^2*2^x
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Expresiones idénticas
- y=arcsin^2tglnx
- y es igual a arc seno de al cuadrado tglnx
- y=arcsin2tglnx
- y=arcsin²tglnx
- y=arcsin en el grado 2tglnx
Derivada de y=arcsin^2tglnx
Solución
Ha introducido
[src]
2 asin (x)*tan(x)*log(x)
$$\tan{\left(x \right)} \operatorname{asin}^{2}{\left(x \right)} \log{\left(x \right)}$$
(asin(x)^2*tan(x))*log(x)
Primera derivada
[src]
2 / 2 / 2 \ 2*asin(x)*tan(x)\ asin (x)*tan(x) |asin (x)*\1 + tan (x)/ + ----------------|*log(x) + --------------- | ________ | x | / 2 | \ \/ 1 - x /
$$\left(\left(\tan^{2}{\left(x \right)} + 1\right) \operatorname{asin}^{2}{\left(x \right)} + \frac{2 \tan{\left(x \right)} \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)} \operatorname{asin}^{2}{\left(x \right)}}{x}$$
Segunda derivada
[src]
// 2 \ 2*tan(x) \
2*|\1 + tan (x)/*asin(x) + -----------|*asin(x)
| ________|
/ / 2 \ \ 2 | / 2 |
|/ 1 x*asin(x) \ 2 / 2 \ 2*\1 + tan (x)/*asin(x)| asin (x)*tan(x) \ \/ 1 - x /
2*||- ------- + -----------|*tan(x) + asin (x)*\1 + tan (x)/*tan(x) + -----------------------|*log(x) - --------------- + -----------------------------------------------
|| 2 3/2| ________ | 2 x
|| -1 + x / 2\ | / 2 | x
\\ \1 - x / / \/ 1 - x /
$$2 \left(\left(\frac{x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{1}{x^{2} - 1}\right) \tan{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \operatorname{asin}^{2}{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}\right) \log{\left(x \right)} + \frac{2 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + \frac{2 \tan{\left(x \right)}}{\sqrt{1 - x^{2}}}\right) \operatorname{asin}{\left(x \right)}}{x} - \frac{\tan{\left(x \right)} \operatorname{asin}^{2}{\left(x \right)}}{x^{2}}$$
Tercera derivada
[src]
/ / 2 \ \
|/ 1 x*asin(x) \ 2 / 2 \ 2*\1 + tan (x)/*asin(x)| // 2 \ 2*tan(x) \
6*||- ------- + -----------|*tan(x) + asin (x)*\1 + tan (x)/*tan(x) + -----------------------| 3*|\1 + tan (x)/*asin(x) + -----------|*asin(x)
|| 2 3/2| ________ | | ________|
// 2 \ / 2 \ \ || -1 + x / 2\ | / 2 | | / 2 | 2
|| asin(x) 3*x 3*x *asin(x)| / 2 \ / 1 x*asin(x) \ 2 / 2 \ / 2 \ 6*\1 + tan (x)/*asin(x)*tan(x)| \\ \1 - x / / \/ 1 - x / \ \/ 1 - x / 2*asin (x)*tan(x)
2*||----------- + ---------- + ------------|*tan(x) + 3*\1 + tan (x)/*|- ------- + -----------| + asin (x)*\1 + tan (x)/*\1 + 3*tan (x)/ + ------------------------------|*log(x) + ---------------------------------------------------------------------------------------------- - ----------------------------------------------- + -----------------
|| 3/2 2 5/2 | | 2 3/2| ________ | x 2 3
||/ 2\ / 2\ / 2\ | | -1 + x / 2\ | / 2 | x x
\\\1 - x / \-1 + x / \1 - x / / \ \1 - x / / \/ 1 - x /
$$2 \left(3 \left(\frac{x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{1}{x^{2} - 1}\right) \left(\tan^{2}{\left(x \right)} + 1\right) + \left(\tan^{2}{\left(x \right)} + 1\right) \left(3 \tan^{2}{\left(x \right)} + 1\right) \operatorname{asin}^{2}{\left(x \right)} + \left(\frac{3 x^{2} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{3 x}{\left(x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right) \tan{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}\right) \log{\left(x \right)} + \frac{6 \left(\left(\frac{x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{1}{x^{2} - 1}\right) \tan{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \operatorname{asin}^{2}{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}\right)}{x} - \frac{3 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + \frac{2 \tan{\left(x \right)}}{\sqrt{1 - x^{2}}}\right) \operatorname{asin}{\left(x \right)}}{x^{2}} + \frac{2 \tan{\left(x \right)} \operatorname{asin}^{2}{\left(x \right)}}{x^{3}}$$
Gráfico