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 1/t
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Derivada de x^(2/5)
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Derivada de 1/ln(x)
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Derivada de f(x)=√x
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Expresiones idénticas
- y=tg2x*arcsinx^ cinco
- y es igual a tg2x multiplicar por arc seno de x en el grado 5
- y es igual a tg2x multiplicar por arc seno de x en el grado cinco
- y=tg2x*arcsinx5
- y=tg2x*arcsinx⁵
- y=tg2xarcsinx^5
- y=tg2xarcsinx5
Derivada de y=tg2x*arcsinx^5
Solución
Ha introducido
[src]
5 tan(2*x)*asin (x)
$$\tan{\left(2 x \right)} \operatorname{asin}^{5}{\left(x \right)}$$
tan(2*x)*asin(x)^5
Primera derivada
[src]
4
5 / 2 \ 5*asin (x)*tan(2*x)
asin (x)*\2 + 2*tan (2*x)/ + -------------------
________
/ 2
\/ 1 - x
$$\left(2 \tan^{2}{\left(2 x \right)} + 2\right) \operatorname{asin}^{5}{\left(x \right)} + \frac{5 \tan{\left(2 x \right)} \operatorname{asin}^{4}{\left(x \right)}}{\sqrt{1 - x^{2}}}$$
Segunda derivada
[src]
/ / 2 \ \
3 | / 4 x*asin(x) \ 2 / 2 \ 20*\1 + tan (2*x)/*asin(x)|
asin (x)*|5*|- ------- + -----------|*tan(2*x) + 8*asin (x)*\1 + tan (2*x)/*tan(2*x) + --------------------------|
| | 2 3/2| ________ |
| | -1 + x / 2\ | / 2 |
\ \ \1 - x / / \/ 1 - x /
$$\left(5 \left(\frac{x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{4}{x^{2} - 1}\right) \tan{\left(2 x \right)} + 8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)} \operatorname{asin}^{2}{\left(x \right)} + \frac{20 \left(\tan^{2}{\left(2 x \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}\right) \operatorname{asin}^{3}{\left(x \right)}$$
Tercera derivada
[src]
/ / 2 2 2 \ 2 / 2 \ \
2 | | 12 asin (x) 3*x *asin (x) 12*x*asin(x)| 3 / 2 \ / 2 \ / 2 \ / 4 x*asin(x) \ 120*asin (x)*\1 + tan (2*x)/*tan(2*x)|
asin (x)*|5*|----------- + ----------- + ------------- + ------------|*tan(2*x) + 16*asin (x)*\1 + tan (2*x)/*\1 + 3*tan (2*x)/ + 30*\1 + tan (2*x)/*|- ------- + -----------|*asin(x) + -------------------------------------|
| | 3/2 3/2 5/2 2 | | 2 3/2| ________ |
| |/ 2\ / 2\ / 2\ / 2\ | | -1 + x / 2\ | / 2 |
\ \\1 - x / \1 - x / \1 - x / \-1 + x / / \ \1 - x / / \/ 1 - x /
$$\left(30 \left(\frac{x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{4}{x^{2} - 1}\right) \left(\tan^{2}{\left(2 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + 16 \left(\tan^{2}{\left(2 x \right)} + 1\right) \left(3 \tan^{2}{\left(2 x \right)} + 1\right) \operatorname{asin}^{3}{\left(x \right)} + 5 \left(\frac{3 x^{2} \operatorname{asin}^{2}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{12 x \operatorname{asin}{\left(x \right)}}{\left(x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}^{2}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{12}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right) \tan{\left(2 x \right)} + \frac{120 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)} \operatorname{asin}^{2}{\left(x \right)}}{\sqrt{1 - x^{2}}}\right) \operatorname{asin}^{2}{\left(x \right)}$$
Gráfico