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
- y=tg^4x×arcsin4x^ cinco
- y es igual a tg en el grado 4x×arc seno de 4x en el grado 5
- y es igual a tg en el grado 4x×arc seno de 4x en el grado cinco
- y=tg4x×arcsin4x5
- y=tg⁴x×arcsin4x⁵
Derivada de y=tg^4x×arcsin4x^5
Solución
Ha introducido
[src]
4 5 tan (x)*asin (4*x)
$$\tan^{4}{\left(x \right)} \operatorname{asin}^{5}{\left(4 x \right)}$$
tan(x)^4*asin(4*x)^5
Primera derivada
[src]
4 4
5 3 / 2 \ 20*asin (4*x)*tan (x)
asin (4*x)*tan (x)*\4 + 4*tan (x)/ + ---------------------
___________
/ 2
\/ 1 - 16*x
$$\left(4 \tan^{2}{\left(x \right)} + 4\right) \tan^{3}{\left(x \right)} \operatorname{asin}^{5}{\left(4 x \right)} + \frac{20 \tan^{4}{\left(x \right)} \operatorname{asin}^{4}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}$$
Segunda derivada
[src]
/ / 2 \ \
3 2 | 2 / 1 x*asin(4*x) \ 2 / 2 \ / 2 \ 40*\1 + tan (x)/*asin(4*x)*tan(x)|
4*asin (4*x)*tan (x)*|80*tan (x)*|- ---------- + --------------| + asin (4*x)*\1 + tan (x)/*\3 + 5*tan (x)/ + ---------------------------------|
| | 2 3/2| ___________ |
| | -1 + 16*x / 2\ | / 2 |
\ \ \1 - 16*x / / \/ 1 - 16*x /
$$4 \left(80 \left(\frac{x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{16 x^{2} - 1}\right) \tan^{2}{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \left(5 \tan^{2}{\left(x \right)} + 3\right) \operatorname{asin}^{2}{\left(4 x \right)} + \frac{40 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \operatorname{asin}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) \tan^{2}{\left(x \right)} \operatorname{asin}^{3}{\left(4 x \right)}$$
Tercera derivada
[src]
/ / 2 2 2 \ / 2 \ 2 / 2 \ / 2 \ \
2 | 3 | 12 asin (4*x) 48*x*asin(4*x) 48*x *asin (4*x)| 3 / 2 \ | 4 / 2 \ 2 / 2 \| 2 / 2 \ / 1 x*asin(4*x) \ 30*asin (4*x)*\1 + tan (x)/*\3 + 5*tan (x)/*tan(x)|
8*asin (4*x)*|40*tan (x)*|-------------- + -------------- + -------------- + ----------------| + asin (4*x)*\1 + tan (x)/*\2*tan (x) + 3*\1 + tan (x)/ + 10*tan (x)*\1 + tan (x)// + 480*tan (x)*\1 + tan (x)/*|- ---------- + --------------|*asin(4*x) + --------------------------------------------------|*tan(x)
| | 3/2 3/2 2 5/2 | | 2 3/2| ___________ |
| |/ 2\ / 2\ / 2\ / 2\ | | -1 + 16*x / 2\ | / 2 |
\ \\1 - 16*x / \1 - 16*x / \-1 + 16*x / \1 - 16*x / / \ \1 - 16*x / / \/ 1 - 16*x /
$$8 \left(480 \left(\frac{x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{16 x^{2} - 1}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} \operatorname{asin}{\left(4 x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \left(3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 10 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 2 \tan^{4}{\left(x \right)}\right) \operatorname{asin}^{3}{\left(4 x \right)} + 40 \left(\frac{48 x^{2} \operatorname{asin}^{2}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{5}{2}}} + \frac{48 x \operatorname{asin}{\left(4 x \right)}}{\left(16 x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}^{2}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + \frac{12}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}\right) \tan^{3}{\left(x \right)} + \frac{30 \left(\tan^{2}{\left(x \right)} + 1\right) \left(5 \tan^{2}{\left(x \right)} + 3\right) \tan{\left(x \right)} \operatorname{asin}^{2}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) \tan{\left(x \right)} \operatorname{asin}^{2}{\left(4 x \right)}$$
Gráfico