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=tg(arcsin^ tres (2x^ cuatro))
- y es igual a tg(arc seno de al cubo (2x en el grado 4))
- y es igual a tg(arc seno de en el grado tres (2x en el grado cuatro))
- y=tg(arcsin3(2x4))
- y=tgarcsin32x4
- y=tg(arcsin³(2x⁴))
- y=tg(arcsin en el grado 3(2x en el grado 4))
- y=tgarcsin^32x^4
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Expresiones con funciones
- tg
- tg(cosx)
- arcsin
- arcsin(lnx)
- arcsin1/x
- arcsin(4x+1)
- arcsin(x)^sqrt(1-x^2)
- arcsin2^x
Derivada de y=tg(arcsin^3(2x^4))
Solución
Ha introducido
[src]
/ 3/ 4\\ tan\asin \2*x //
$$\tan{\left(\operatorname{asin}^{3}{\left(2 x^{4} \right)} \right)}$$
tan(asin(2*x^4)^3)
Primera derivada
[src]
3 2/ 4\ / 2/ 3/ 4\\\
24*x *asin \2*x /*\1 + tan \asin \2*x ///
-----------------------------------------
__________
/ 8
\/ 1 - 4*x
$$\frac{24 x^{3} \left(\tan^{2}{\left(\operatorname{asin}^{3}{\left(2 x^{4} \right)} \right)} + 1\right) \operatorname{asin}^{2}{\left(2 x^{4} \right)}}{\sqrt{1 - 4 x^{8}}}$$
Segunda derivada
[src]
/ 4 / 4\ 8 / 4\ 4 3/ 4\ / 3/ 4\\\
2 / 2/ 3/ 4\\\ | 16*x 3*asin\2*x / 16*x *asin\2*x / 48*x *asin \2*x /*tan\asin \2*x //| / 4\
24*x *\1 + tan \asin \2*x ///*|- --------- + ------------- + ---------------- - ----------------------------------|*asin\2*x /
| 8 __________ 3/2 8 |
| -1 + 4*x / 8 / 8\ -1 + 4*x |
\ \/ 1 - 4*x \1 - 4*x / /
$$24 x^{2} \left(\tan^{2}{\left(\operatorname{asin}^{3}{\left(2 x^{4} \right)} \right)} + 1\right) \left(\frac{16 x^{8} \operatorname{asin}{\left(2 x^{4} \right)}}{\left(1 - 4 x^{8}\right)^{\frac{3}{2}}} - \frac{48 x^{4} \tan{\left(\operatorname{asin}^{3}{\left(2 x^{4} \right)} \right)} \operatorname{asin}^{3}{\left(2 x^{4} \right)}}{4 x^{8} - 1} - \frac{16 x^{4}}{4 x^{8} - 1} + \frac{3 \operatorname{asin}{\left(2 x^{4} \right)}}{\sqrt{1 - 4 x^{8}}}\right) \operatorname{asin}{\left(2 x^{4} \right)}$$
Tercera derivada
[src]
/ 2/ 4\ 8 4 / 4\ 8 2/ 4\ 12 / 4\ 16 2/ 4\ 4 4/ 4\ / 3/ 4\\ 8 6/ 4\ / 2/ 3/ 4\\\ 8 3/ 4\ / 3/ 4\\ 8 6/ 4\ 2/ 3/ 4\\ 12 4/ 4\ / 3/ 4\\\
/ 2/ 3/ 4\\\ |3*asin \2*x / 64*x 72*x *asin\2*x / 104*x *asin \2*x / 384*x *asin\2*x / 384*x *asin \2*x / 216*x *asin \2*x /*tan\asin \2*x // 576*x *asin \2*x /*\1 + tan \asin \2*x /// 1152*x *asin \2*x /*tan\asin \2*x // 1152*x *asin \2*x /*tan \asin \2*x // 1152*x *asin \2*x /*tan\asin \2*x //|
48*x*\1 + tan \asin \2*x ///*|------------- + ------------- - ---------------- + ------------------ + ------------------ + ------------------- - ----------------------------------- + ------------------------------------------ + ------------------------------------ + ------------------------------------- + -------------------------------------|
| __________ 3/2 8 3/2 2 5/2 8 3/2 3/2 3/2 2 |
| / 8 / 8\ -1 + 4*x / 8\ / 8\ / 8\ -1 + 4*x / 8\ / 8\ / 8\ / 8\ |
\\/ 1 - 4*x \1 - 4*x / \1 - 4*x / \-1 + 4*x / \1 - 4*x / \1 - 4*x / \1 - 4*x / \1 - 4*x / \-1 + 4*x / /
$$48 x \left(\tan^{2}{\left(\operatorname{asin}^{3}{\left(2 x^{4} \right)} \right)} + 1\right) \left(\frac{384 x^{16} \operatorname{asin}^{2}{\left(2 x^{4} \right)}}{\left(1 - 4 x^{8}\right)^{\frac{5}{2}}} + \frac{1152 x^{12} \tan{\left(\operatorname{asin}^{3}{\left(2 x^{4} \right)} \right)} \operatorname{asin}^{4}{\left(2 x^{4} \right)}}{\left(4 x^{8} - 1\right)^{2}} + \frac{384 x^{12} \operatorname{asin}{\left(2 x^{4} \right)}}{\left(4 x^{8} - 1\right)^{2}} + \frac{576 x^{8} \left(\tan^{2}{\left(\operatorname{asin}^{3}{\left(2 x^{4} \right)} \right)} + 1\right) \operatorname{asin}^{6}{\left(2 x^{4} \right)}}{\left(1 - 4 x^{8}\right)^{\frac{3}{2}}} + \frac{1152 x^{8} \tan^{2}{\left(\operatorname{asin}^{3}{\left(2 x^{4} \right)} \right)} \operatorname{asin}^{6}{\left(2 x^{4} \right)}}{\left(1 - 4 x^{8}\right)^{\frac{3}{2}}} + \frac{1152 x^{8} \tan{\left(\operatorname{asin}^{3}{\left(2 x^{4} \right)} \right)} \operatorname{asin}^{3}{\left(2 x^{4} \right)}}{\left(1 - 4 x^{8}\right)^{\frac{3}{2}}} + \frac{104 x^{8} \operatorname{asin}^{2}{\left(2 x^{4} \right)}}{\left(1 - 4 x^{8}\right)^{\frac{3}{2}}} + \frac{64 x^{8}}{\left(1 - 4 x^{8}\right)^{\frac{3}{2}}} - \frac{216 x^{4} \tan{\left(\operatorname{asin}^{3}{\left(2 x^{4} \right)} \right)} \operatorname{asin}^{4}{\left(2 x^{4} \right)}}{4 x^{8} - 1} - \frac{72 x^{4} \operatorname{asin}{\left(2 x^{4} \right)}}{4 x^{8} - 1} + \frac{3 \operatorname{asin}^{2}{\left(2 x^{4} \right)}}{\sqrt{1 - 4 x^{8}}}\right)$$
Gráfico