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 x^-7
- Derivada de i*n*x
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Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
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Derivada de (-2)/x^3
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Expresiones idénticas
- y=arcsin^ tres (2x)*ctg(7x)^ cuatro
- y es igual a arc seno de al cubo (2x) multiplicar por ctg(7x) en el grado 4
- y es igual a arc seno de en el grado tres (2x) multiplicar por ctg(7x) en el grado cuatro
- y=arcsin3(2x)*ctg(7x)4
- y=arcsin32x*ctg7x4
- y=arcsin³(2x)*ctg(7x)⁴
- y=arcsin en el grado 3(2x)*ctg(7x) en el grado 4
- y=arcsin^3(2x)ctg(7x)^4
- y=arcsin3(2x)ctg(7x)4
- y=arcsin32xctg7x4
- y=arcsin^32xctg7x^4
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Expresiones con funciones
- arcsin
- arcsin1/x
- arcsin(4x+1)
- arcsin(4/(3x))*(log(2,sqrt(5x3)))
- arcsin(x)^sqrt(1-x^2)
- arcsin2^x
Derivada de y=arcsin^3(2x)*ctg(7x)^4
Solución
Ha introducido
[src]
3 4 asin (2*x)*cot (7*x)
$$\cot^{4}{\left(7 x \right)} \operatorname{asin}^{3}{\left(2 x \right)}$$
asin(2*x)^3*cot(7*x)^4
Primera derivada
[src]
2 4
3 3 / 2 \ 6*asin (2*x)*cot (7*x)
asin (2*x)*cot (7*x)*\-28 - 28*cot (7*x)/ + ----------------------
__________
/ 2
\/ 1 - 4*x
$$\left(- 28 \cot^{2}{\left(7 x \right)} - 28\right) \cot^{3}{\left(7 x \right)} \operatorname{asin}^{3}{\left(2 x \right)} + \frac{6 \cot^{4}{\left(7 x \right)} \operatorname{asin}^{2}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}$$
Segunda derivada
[src]
/ / 2 \ \
2 | 2 / 1 x*asin(2*x) \ 2 / 2 \ / 2 \ 84*\1 + cot (7*x)/*asin(2*x)*cot(7*x)|
4*cot (7*x)*|6*cot (7*x)*|- --------- + -------------| + 49*asin (2*x)*\1 + cot (7*x)/*\3 + 5*cot (7*x)/ - -------------------------------------|*asin(2*x)
| | 2 3/2| __________ |
| | -1 + 4*x / 2\ | / 2 |
\ \ \1 - 4*x / / \/ 1 - 4*x /
$$4 \left(6 \left(\frac{x \operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{4 x^{2} - 1}\right) \cot^{2}{\left(7 x \right)} + 49 \left(\cot^{2}{\left(7 x \right)} + 1\right) \left(5 \cot^{2}{\left(7 x \right)} + 3\right) \operatorname{asin}^{2}{\left(2 x \right)} - \frac{84 \left(\cot^{2}{\left(7 x \right)} + 1\right) \cot{\left(7 x \right)} \operatorname{asin}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}\right) \cot^{2}{\left(7 x \right)} \operatorname{asin}{\left(2 x \right)}$$
Tercera derivada
[src]
/ / 2 2 2 \ / 2 \ 2 / 2 \ / 2 \ \ | 3 | 2 asin (2*x) 12*x*asin(2*x) 12*x *asin (2*x)| 3 / 2 \ | 4 / 2 \ 2 / 2 \| 2 / 2 \ / 1 x*asin(2*x) \ 441*asin (2*x)*\1 + cot (7*x)/*\3 + 5*cot (7*x)/*cot(7*x)| 8*|3*cot (7*x)*|------------- + ------------- + -------------- + ----------------| - 343*asin (2*x)*\1 + cot (7*x)/*\2*cot (7*x) + 3*\1 + cot (7*x)/ + 10*cot (7*x)*\1 + cot (7*x)// - 252*cot (7*x)*\1 + cot (7*x)/*|- --------- + -------------|*asin(2*x) + ---------------------------------------------------------|*cot(7*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 /
$$8 \left(- 252 \left(\frac{x \operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{4 x^{2} - 1}\right) \left(\cot^{2}{\left(7 x \right)} + 1\right) \cot^{2}{\left(7 x \right)} \operatorname{asin}{\left(2 x \right)} - 343 \left(\cot^{2}{\left(7 x \right)} + 1\right) \left(3 \left(\cot^{2}{\left(7 x \right)} + 1\right)^{2} + 10 \left(\cot^{2}{\left(7 x \right)} + 1\right) \cot^{2}{\left(7 x \right)} + 2 \cot^{4}{\left(7 x \right)}\right) \operatorname{asin}^{3}{\left(2 x \right)} + 3 \left(\frac{12 x^{2} \operatorname{asin}^{2}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} + \frac{12 x \operatorname{asin}{\left(2 x \right)}}{\left(4 x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}^{2}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right) \cot^{3}{\left(7 x \right)} + \frac{441 \left(\cot^{2}{\left(7 x \right)} + 1\right) \left(5 \cot^{2}{\left(7 x \right)} + 3\right) \cot{\left(7 x \right)} \operatorname{asin}^{2}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}\right) \cot{\left(7 x \right)}$$
Gráfico