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 (3x^4-x)^7
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Derivada de (3x+6)^2
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Derivada de (1+cos(x))/(1-cos(x))
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Derivada de (2*x-9)/(x-5)
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Expresiones idénticas
- y=tg(arccos^ cinco (3x^ dos))
- y es igual a tg(arc coseno de en el grado 5(3x al cuadrado ))
- y es igual a tg(arc coseno de en el grado cinco (3x en el grado dos))
- y=tg(arccos5(3x2))
- y=tgarccos53x2
- y=tg(arccos⁵(3x²))
- y=tg(arccos en el grado 5(3x en el grado 2))
- y=tgarccos^53x^2
Derivada de y=tg(arccos^5(3x^2))
Solución
Ha introducido
[src]
/ 5/ 2\\ tan\acos \3*x //
$$\tan{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)}$$
tan(acos(3*x^2)^5)
Primera derivada
[src]
4/ 2\ / 2/ 5/ 2\\\
-30*x*acos \3*x /*\1 + tan \acos \3*x ///
-----------------------------------------
__________
/ 4
\/ 1 - 9*x
$$- \frac{30 x \left(\tan^{2}{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} + 1\right) \operatorname{acos}^{4}{\left(3 x^{2} \right)}}{\sqrt{1 - 9 x^{4}}}$$
Segunda derivada
[src]
/ / 2\ 2 4 / 2\ 2 5/ 2\ / 5/ 2\\\
3/ 2\ / 2/ 5/ 2\\\ | acos\3*x / 24*x 18*x *acos\3*x / 60*x *acos \3*x /*tan\acos \3*x //|
-30*acos \3*x /*\1 + tan \acos \3*x ///*|------------- + --------- + ---------------- + ----------------------------------|
| __________ 4 3/2 4 |
| / 4 -1 + 9*x / 4\ -1 + 9*x |
\\/ 1 - 9*x \1 - 9*x / /
$$- 30 \left(\tan^{2}{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} + 1\right) \left(\frac{18 x^{4} \operatorname{acos}{\left(3 x^{2} \right)}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} + \frac{60 x^{2} \tan{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} \operatorname{acos}^{5}{\left(3 x^{2} \right)}}{9 x^{4} - 1} + \frac{24 x^{2}}{9 x^{4} - 1} + \frac{\operatorname{acos}{\left(3 x^{2} \right)}}{\sqrt{1 - 9 x^{4}}}\right) \operatorname{acos}^{3}{\left(3 x^{2} \right)}$$
Tercera derivada
[src]
/ 2 / 2\ 6 2/ 2\ 6/ 2\ / 5/ 2\\ 2 2/ 2\ 4 / 2\ 2 5/ 2\ / 5/ 2\\ 2 10/ 2\ 2/ 5/ 2\\ 2 10/ 2\ / 2/ 5/ 2\\\ 4 6/ 2\ / 5/ 2\\\
2/ 2\ / 2/ 5/ 2\\\ | 24*x 4*acos\3*x / 54*x *acos \3*x / 10*acos \3*x /*tan\acos \3*x // 5*x *acos \3*x / 72*x *acos\3*x / 240*x *acos \3*x /*tan\acos \3*x // 200*x *acos \3*x /*tan \acos \3*x // 100*x *acos \3*x /*\1 + tan \acos \3*x /// 180*x *acos \3*x /*tan\acos \3*x //|
540*x*acos \3*x /*\1 + tan \acos \3*x ///*|- ------------- - ------------ - ----------------- - ------------------------------- - ---------------- + ---------------- - ----------------------------------- - ------------------------------------- - ------------------------------------------- + -----------------------------------|
| 3/2 4 5/2 4 3/2 2 3/2 3/2 3/2 2 |
| / 4\ -1 + 9*x / 4\ -1 + 9*x / 4\ / 4\ / 4\ / 4\ / 4\ / 4\ |
\ \1 - 9*x / \1 - 9*x / \1 - 9*x / \-1 + 9*x / \1 - 9*x / \1 - 9*x / \1 - 9*x / \-1 + 9*x / /
$$540 x \left(\tan^{2}{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} + 1\right) \left(- \frac{54 x^{6} \operatorname{acos}^{2}{\left(3 x^{2} \right)}}{\left(1 - 9 x^{4}\right)^{\frac{5}{2}}} + \frac{180 x^{4} \tan{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} \operatorname{acos}^{6}{\left(3 x^{2} \right)}}{\left(9 x^{4} - 1\right)^{2}} + \frac{72 x^{4} \operatorname{acos}{\left(3 x^{2} \right)}}{\left(9 x^{4} - 1\right)^{2}} - \frac{100 x^{2} \left(\tan^{2}{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} + 1\right) \operatorname{acos}^{10}{\left(3 x^{2} \right)}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} - \frac{200 x^{2} \tan^{2}{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} \operatorname{acos}^{10}{\left(3 x^{2} \right)}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} - \frac{240 x^{2} \tan{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} \operatorname{acos}^{5}{\left(3 x^{2} \right)}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} - \frac{5 x^{2} \operatorname{acos}^{2}{\left(3 x^{2} \right)}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} - \frac{24 x^{2}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} - \frac{10 \tan{\left(\operatorname{acos}^{5}{\left(3 x^{2} \right)} \right)} \operatorname{acos}^{6}{\left(3 x^{2} \right)}}{9 x^{4} - 1} - \frac{4 \operatorname{acos}{\left(3 x^{2} \right)}}{9 x^{4} - 1}\right) \operatorname{acos}^{2}{\left(3 x^{2} \right)}$$
Gráfico