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/(x+1)^2
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Derivada de (x+3)/(x-2)
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Derivada de (x+4)^2*(x+1)+9
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Derivada de e^(2-x)
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Expresiones idénticas
- сtg^ siete (x)*arccos(2x^ tres)
- сtg en el grado 7(x) multiplicar por arc coseno de (2x al cubo )
- сtg en el grado siete (x) multiplicar por arc coseno de (2x en el grado tres)
- сtg7(x)*arccos(2x3)
- сtg7x*arccos2x3
- сtg⁷(x)*arccos(2x³)
- сtg en el grado 7(x)*arccos(2x en el grado 3)
- сtg^7(x)arccos(2x^3)
- сtg7(x)arccos(2x3)
- сtg7xarccos2x3
- сtg^7xarccos2x^3
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Expresiones con funciones
- arccos
- arccos(1/x)
- arccos(2^x)
Derivada de сtg^7(x)*arccos(2x^3)
Solución
Ha introducido
[src]
7 / 3\ cot (x)*acos\2*x /
$$\cot^{7}{\left(x \right)} \operatorname{acos}{\left(2 x^{3} \right)}$$
cot(x)^7*acos(2*x^3)
Primera derivada
[src]
2 7
6 / 2 \ / 3\ 6*x *cot (x)
cot (x)*\-7 - 7*cot (x)/*acos\2*x / - -------------
__________
/ 6
\/ 1 - 4*x
$$- \frac{6 x^{2} \cot^{7}{\left(x \right)}}{\sqrt{1 - 4 x^{6}}} + \left(- 7 \cot^{2}{\left(x \right)} - 7\right) \cot^{6}{\left(x \right)} \operatorname{acos}{\left(2 x^{3} \right)}$$
Segunda derivada
[src]
/ / 6 \ \
| 2 | 6*x | |
| 6*x*cot (x)*|-1 + ---------| |
| | 6| 2 / 2 \ |
5 | / 2 \ / 2 \ / 3\ \ -1 + 4*x / 42*x *\1 + cot (x)/*cot(x)|
2*cot (x)*|7*\1 + cot (x)/*\3 + 4*cot (x)/*acos\2*x / + ---------------------------- + --------------------------|
| __________ __________ |
| / 6 / 6 |
\ \/ 1 - 4*x \/ 1 - 4*x /
$$2 \left(\frac{42 x^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}}{\sqrt{1 - 4 x^{6}}} + \frac{6 x \left(\frac{6 x^{6}}{4 x^{6} - 1} - 1\right) \cot^{2}{\left(x \right)}}{\sqrt{1 - 4 x^{6}}} + 7 \left(\cot^{2}{\left(x \right)} + 1\right) \left(4 \cot^{2}{\left(x \right)} + 3\right) \operatorname{acos}{\left(2 x^{3} \right)}\right) \cot^{5}{\left(x \right)}$$
Tercera derivada
[src]
/ / 6 12 \ \
| 3 | 54*x 216*x | / 6 \ |
|6*cot (x)*|1 - --------- + ------------| 2 / 2 \ | 6*x | |
| | 6 2| 126*x*cot (x)*\1 + cot (x)/*|-1 + ---------| |
| | -1 + 4*x / 6\ | / 2 \ | 6| 2 / 2 \ / 2 \ |
4 | \ \-1 + 4*x / / / 2 \ | 4 / 2 \ 2 / 2 \| / 3\ \ -1 + 4*x / 126*x *\1 + cot (x)/*\3 + 4*cot (x)/*cot(x)|
-2*cot (x)*|---------------------------------------- + 7*\1 + cot (x)/*\2*cot (x) + 15*\1 + cot (x)/ + 19*cot (x)*\1 + cot (x)//*acos\2*x / + -------------------------------------------- + -------------------------------------------|
| __________ __________ __________ |
| / 6 / 6 / 6 |
\ \/ 1 - 4*x \/ 1 - 4*x \/ 1 - 4*x /
$$- 2 \left(\frac{126 x^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \left(4 \cot^{2}{\left(x \right)} + 3\right) \cot{\left(x \right)}}{\sqrt{1 - 4 x^{6}}} + \frac{126 x \left(\frac{6 x^{6}}{4 x^{6} - 1} - 1\right) \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)}}{\sqrt{1 - 4 x^{6}}} + 7 \left(\cot^{2}{\left(x \right)} + 1\right) \left(15 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} + 19 \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)} + 2 \cot^{4}{\left(x \right)}\right) \operatorname{acos}{\left(2 x^{3} \right)} + \frac{6 \left(\frac{216 x^{12}}{\left(4 x^{6} - 1\right)^{2}} - \frac{54 x^{6}}{4 x^{6} - 1} + 1\right) \cot^{3}{\left(x \right)}}{\sqrt{1 - 4 x^{6}}}\right) \cot^{4}{\left(x \right)}$$
Gráfico