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:
-
Derivada de e^-1
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Derivada de (x^2)'
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Derivada de y
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Derivada de (x^5+1)
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Expresiones idénticas
- y= tres ^arccos^ dos (tg4x)
- y es igual a 3 en el grado arc coseno de al cuadrado (tg4x)
- y es igual a tres en el grado arc coseno de en el grado dos (tg4x)
- y=3arccos2(tg4x)
- y=3arccos2tg4x
- y=3^arccos²(tg4x)
- y=3 en el grado arccos en el grado 2(tg4x)
- y=3^arccos^2tg4x
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Expresiones con funciones
- arccos
- arccos(1/x)
Derivada de y=3^arccos^2(tg4x)
Solución
Ha introducido
[src]
2 acos (tan(4*x)) 3
$$3^{\operatorname{acos}^{2}{\left(\tan{\left(4 x \right)} \right)}}$$
3^(acos(tan(4*x))^2)
Primera derivada
[src]
2
acos (tan(4*x)) / 2 \
-2*3 *\4 + 4*tan (4*x)/*acos(tan(4*x))*log(3)
-----------------------------------------------------------
_______________
/ 2
\/ 1 - tan (4*x)
$$- \frac{2 \cdot 3^{\operatorname{acos}^{2}{\left(\tan{\left(4 x \right)} \right)}} \left(4 \tan^{2}{\left(4 x \right)} + 4\right) \log{\left(3 \right)} \operatorname{acos}{\left(\tan{\left(4 x \right)} \right)}}{\sqrt{1 - \tan^{2}{\left(4 x \right)}}}$$
Segunda derivada
[src]
2 / 2 / 2 \ 2 / 2 \ \
acos (tan(4*x)) / 2 \ |1 + tan (4*x) 2*acos(tan(4*x))*tan(4*x) \1 + tan (4*x)/*acos(tan(4*x))*tan(4*x) 2*acos (tan(4*x))*\1 + tan (4*x)/*log(3)|
-32*3 *\1 + tan (4*x)/*|-------------- + ------------------------- + --------------------------------------- + ----------------------------------------|*log(3)
| 2 _______________ 3/2 2 |
|-1 + tan (4*x) / 2 / 2 \ -1 + tan (4*x) |
\ \/ 1 - tan (4*x) \1 - tan (4*x)/ /
$$- 32 \cdot 3^{\operatorname{acos}^{2}{\left(\tan{\left(4 x \right)} \right)}} \left(\tan^{2}{\left(4 x \right)} + 1\right) \left(\frac{2 \left(\tan^{2}{\left(4 x \right)} + 1\right) \log{\left(3 \right)} \operatorname{acos}^{2}{\left(\tan{\left(4 x \right)} \right)}}{\tan^{2}{\left(4 x \right)} - 1} + \frac{\tan^{2}{\left(4 x \right)} + 1}{\tan^{2}{\left(4 x \right)} - 1} + \frac{2 \tan{\left(4 x \right)} \operatorname{acos}{\left(\tan{\left(4 x \right)} \right)}}{\sqrt{1 - \tan^{2}{\left(4 x \right)}}} + \frac{\left(\tan^{2}{\left(4 x \right)} + 1\right) \tan{\left(4 x \right)} \operatorname{acos}{\left(\tan{\left(4 x \right)} \right)}}{\left(1 - \tan^{2}{\left(4 x \right)}\right)^{\frac{3}{2}}}\right) \log{\left(3 \right)}$$
Tercera derivada
[src]
/ 2 2 2 2 2 2 \
2 | / 2 \ / 2 \ 2 / 2 \ / 2 \ / 2 \ 2 / 2 \ / 2 \ 3 2 / 2 \ 2 2 / 2 \ / 2 \ 2 |
acos (tan(4*x)) / 2 \ | \1 + tan (4*x)/ *acos(tan(4*x)) 6*\1 + tan (4*x)/*tan(4*x) 4*tan (4*x)*acos(tan(4*x)) 2*\1 + tan (4*x)/*acos(tan(4*x)) 3*\1 + tan (4*x)/ *tan(4*x) 6*\1 + tan (4*x)/ *acos(tan(4*x))*log(3) 6*tan (4*x)*\1 + tan (4*x)/*acos(tan(4*x)) 4*\1 + tan (4*x)/ *acos (tan(4*x))*log (3) 3*\1 + tan (4*x)/ *tan (4*x)*acos(tan(4*x)) 12*acos (tan(4*x))*\1 + tan (4*x)/*log(3)*tan(4*x) 6*\1 + tan (4*x)/ *acos (tan(4*x))*log(3)*tan(4*x)|
128*3 *\1 + tan (4*x)/*|- ------------------------------- - -------------------------- - -------------------------- - -------------------------------- + --------------------------- - ---------------------------------------- - ------------------------------------------ - ------------------------------------------ - ------------------------------------------- - -------------------------------------------------- + --------------------------------------------------|*log(3)
| 3/2 2 _______________ _______________ 2 3/2 3/2 3/2 5/2 2 2 |
| / 2 \ -1 + tan (4*x) / 2 / 2 / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ -1 + tan (4*x) / 2 \ |
\ \1 - tan (4*x)/ \/ 1 - tan (4*x) \/ 1 - tan (4*x) \-1 + tan (4*x)/ \1 - tan (4*x)/ \1 - tan (4*x)/ \1 - tan (4*x)/ \1 - tan (4*x)/ \-1 + tan (4*x)/ /
$$128 \cdot 3^{\operatorname{acos}^{2}{\left(\tan{\left(4 x \right)} \right)}} \left(\tan^{2}{\left(4 x \right)} + 1\right) \left(- \frac{12 \left(\tan^{2}{\left(4 x \right)} + 1\right) \log{\left(3 \right)} \tan{\left(4 x \right)} \operatorname{acos}^{2}{\left(\tan{\left(4 x \right)} \right)}}{\tan^{2}{\left(4 x \right)} - 1} - \frac{6 \left(\tan^{2}{\left(4 x \right)} + 1\right) \tan{\left(4 x \right)}}{\tan^{2}{\left(4 x \right)} - 1} + \frac{6 \left(\tan^{2}{\left(4 x \right)} + 1\right)^{2} \log{\left(3 \right)} \tan{\left(4 x \right)} \operatorname{acos}^{2}{\left(\tan{\left(4 x \right)} \right)}}{\left(\tan^{2}{\left(4 x \right)} - 1\right)^{2}} + \frac{3 \left(\tan^{2}{\left(4 x \right)} + 1\right)^{2} \tan{\left(4 x \right)}}{\left(\tan^{2}{\left(4 x \right)} - 1\right)^{2}} - \frac{2 \left(\tan^{2}{\left(4 x \right)} + 1\right) \operatorname{acos}{\left(\tan{\left(4 x \right)} \right)}}{\sqrt{1 - \tan^{2}{\left(4 x \right)}}} - \frac{4 \tan^{2}{\left(4 x \right)} \operatorname{acos}{\left(\tan{\left(4 x \right)} \right)}}{\sqrt{1 - \tan^{2}{\left(4 x \right)}}} - \frac{4 \left(\tan^{2}{\left(4 x \right)} + 1\right)^{2} \log{\left(3 \right)}^{2} \operatorname{acos}^{3}{\left(\tan{\left(4 x \right)} \right)}}{\left(1 - \tan^{2}{\left(4 x \right)}\right)^{\frac{3}{2}}} - \frac{6 \left(\tan^{2}{\left(4 x \right)} + 1\right)^{2} \log{\left(3 \right)} \operatorname{acos}{\left(\tan{\left(4 x \right)} \right)}}{\left(1 - \tan^{2}{\left(4 x \right)}\right)^{\frac{3}{2}}} - \frac{\left(\tan^{2}{\left(4 x \right)} + 1\right)^{2} \operatorname{acos}{\left(\tan{\left(4 x \right)} \right)}}{\left(1 - \tan^{2}{\left(4 x \right)}\right)^{\frac{3}{2}}} - \frac{6 \left(\tan^{2}{\left(4 x \right)} + 1\right) \tan^{2}{\left(4 x \right)} \operatorname{acos}{\left(\tan{\left(4 x \right)} \right)}}{\left(1 - \tan^{2}{\left(4 x \right)}\right)^{\frac{3}{2}}} - \frac{3 \left(\tan^{2}{\left(4 x \right)} + 1\right)^{2} \tan^{2}{\left(4 x \right)} \operatorname{acos}{\left(\tan{\left(4 x \right)} \right)}}{\left(1 - \tan^{2}{\left(4 x \right)}\right)^{\frac{5}{2}}}\right) \log{\left(3 \right)}$$
Gráfico