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=cot^ siete *x*arccos2x^ tres
- y es igual a cotangente de en el grado 7 multiplicar por x multiplicar por arc coseno de 2x al cubo
- y es igual a cotangente de en el grado siete multiplicar por x multiplicar por arc coseno de 2x en el grado tres
- y=cot7*x*arccos2x3
- y=cot⁷*x*arccos2x³
- y=cot en el grado 7*x*arccos2x en el grado 3
- y=cot^7xarccos2x^3
- y=cot7xarccos2x3
Derivada de y=cot^7*x*arccos2x^3
Solución
Ha introducido
[src]
7 3 cot (x)*acos (2*x)
$$\cot^{7}{\left(x \right)} \operatorname{acos}^{3}{\left(2 x \right)}$$
cot(x)^7*acos(2*x)^3
Primera derivada
[src]
2 7
3 6 / 2 \ 6*acos (2*x)*cot (x)
acos (2*x)*cot (x)*\-7 - 7*cot (x)/ - --------------------
__________
/ 2
\/ 1 - 4*x
$$\left(- 7 \cot^{2}{\left(x \right)} - 7\right) \cot^{6}{\left(x \right)} \operatorname{acos}^{3}{\left(2 x \right)} - \frac{6 \cot^{7}{\left(x \right)} \operatorname{acos}^{2}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}$$
Segunda derivada
[src]
/ / 2 \ \
5 | 2 / 1 x*acos(2*x) \ 2 / 2 \ / 2 \ 42*\1 + cot (x)/*acos(2*x)*cot(x)|
2*cot (x)*|- 12*cot (x)*|--------- + -------------| + 7*acos (2*x)*\1 + cot (x)/*\3 + 4*cot (x)/ + ---------------------------------|*acos(2*x)
| | 2 3/2| __________ |
| |-1 + 4*x / 2\ | / 2 |
\ \ \1 - 4*x / / \/ 1 - 4*x /
$$2 \left(- 12 \left(\frac{x \operatorname{acos}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{1}{4 x^{2} - 1}\right) \cot^{2}{\left(x \right)} + 7 \left(\cot^{2}{\left(x \right)} + 1\right) \left(4 \cot^{2}{\left(x \right)} + 3\right) \operatorname{acos}^{2}{\left(2 x \right)} + \frac{42 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} \operatorname{acos}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}\right) \cot^{5}{\left(x \right)} \operatorname{acos}{\left(2 x \right)}$$
Tercera derivada
[src]
/ / 2 2 2 \ / 2 \ 2 / 2 \ / 2 \ \
4 | 3 | 2 acos (2*x) 12*x*acos(2*x) 12*x *acos (2*x)| 3 / 2 \ | 4 / 2 \ 2 / 2 \| 2 / 2 \ / 1 x*acos(2*x) \ 126*acos (2*x)*\1 + cot (x)/*\3 + 4*cot (x)/*cot(x)|
2*cot (x)*|- 12*cot (x)*|------------- + ------------- - -------------- + ----------------| - 7*acos (2*x)*\1 + cot (x)/*\2*cot (x) + 15*\1 + cot (x)/ + 19*cot (x)*\1 + cot (x)// + 252*cot (x)*\1 + cot (x)/*|--------- + -------------|*acos(2*x) - ---------------------------------------------------|
| | 3/2 3/2 2 5/2 | | 2 3/2| __________ |
| |/ 2\ / 2\ / 2\ / 2\ | |-1 + 4*x / 2\ | / 2 |
\ \\1 - 4*x / \1 - 4*x / \-1 + 4*x / \1 - 4*x / / \ \1 - 4*x / / \/ 1 - 4*x /
$$2 \left(252 \left(\frac{x \operatorname{acos}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{1}{4 x^{2} - 1}\right) \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)} \operatorname{acos}{\left(2 x \right)} - 7 \left(\cot^{2}{\left(x \right)} + 1\right) \left(15 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} + 19 \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)} + 2 \cot^{4}{\left(x \right)}\right) \operatorname{acos}^{3}{\left(2 x \right)} - 12 \left(\frac{12 x^{2} \operatorname{acos}^{2}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} - \frac{12 x \operatorname{acos}{\left(2 x \right)}}{\left(4 x^{2} - 1\right)^{2}} + \frac{\operatorname{acos}^{2}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right) \cot^{3}{\left(x \right)} - \frac{126 \left(\cot^{2}{\left(x \right)} + 1\right) \left(4 \cot^{2}{\left(x \right)} + 3\right) \cot{\left(x \right)} \operatorname{acos}^{2}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}\right) \cot^{4}{\left(x \right)}$$
Gráfico