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 e^x*sin(x)
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Derivada de x*e^(1/x)
- Derivada de x!
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Derivada de e^y
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Expresiones idénticas
- y=asin^ tres (2x)*ctg(7x)
- y es igual a ar coseno de eno de al cubo (2x) multiplicar por ctg(7x)
- y es igual a ar coseno de eno de en el grado tres (2x) multiplicar por ctg(7x)
- y=asin3(2x)*ctg(7x)
- y=asin32x*ctg7x
- y=asin³(2x)*ctg(7x)
- y=asin en el grado 3(2x)*ctg(7x)
- y=asin^3(2x)ctg(7x)
- y=asin3(2x)ctg(7x)
- y=asin32xctg7x
- y=asin^32xctg7x
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Expresiones con funciones
- Arcoseno arcsin
- asinhx
- asin(log(x))
- asin(x)/x^2
- asin(x-2)
- asin(1)/x
- ctg
- ctg(x^2)
- ctg(x/7)
Derivada de y=asin^3(2x)*ctg(7x)
Solución
Ha introducido
[src]
3 asin (2*x)*cot(7*x)
$$\cot{\left(7 x \right)} \operatorname{asin}^{3}{\left(2 x \right)}$$
asin(2*x)^3*cot(7*x)
Primera derivada
[src]
2
3 / 2 \ 6*asin (2*x)*cot(7*x)
asin (2*x)*\-7 - 7*cot (7*x)/ + ---------------------
__________
/ 2
\/ 1 - 4*x
$$\left(- 7 \cot^{2}{\left(7 x \right)} - 7\right) \operatorname{asin}^{3}{\left(2 x \right)} + \frac{6 \cot{\left(7 x \right)} \operatorname{asin}^{2}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}$$
Segunda derivada
[src]
/ / 2 \ \ | / 1 x*asin(2*x) \ 42*\1 + cot (7*x)/*asin(2*x) 2 / 2 \ | 2*|12*|- --------- + -------------|*cot(7*x) - ---------------------------- + 49*asin (2*x)*\1 + cot (7*x)/*cot(7*x)|*asin(2*x) | | 2 3/2| __________ | | | -1 + 4*x / 2\ | / 2 | \ \ \1 - 4*x / / \/ 1 - 4*x /
$$2 \left(12 \left(\frac{x \operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{4 x^{2} - 1}\right) \cot{\left(7 x \right)} + 49 \left(\cot^{2}{\left(7 x \right)} + 1\right) \cot{\left(7 x \right)} \operatorname{asin}^{2}{\left(2 x \right)} - \frac{42 \left(\cot^{2}{\left(7 x \right)} + 1\right) \operatorname{asin}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}\right) \operatorname{asin}{\left(2 x \right)}$$
Tercera derivada
[src]
/ / 2 2 2 \ 2 / 2 \ \ | | 2 asin (2*x) 12*x*asin(2*x) 12*x *asin (2*x)| 3 / 2 \ / 2 \ / 2 \ / 1 x*asin(2*x) \ 882*asin (2*x)*\1 + cot (7*x)/*cot(7*x)| 2*|12*|------------- + ------------- + -------------- + ----------------|*cot(7*x) - 343*asin (2*x)*\1 + cot (7*x)/*\1 + 3*cot (7*x)/ - 252*\1 + cot (7*x)/*|- --------- + -------------|*asin(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 /
$$2 \left(- 252 \left(\frac{x \operatorname{asin}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{4 x^{2} - 1}\right) \left(\cot^{2}{\left(7 x \right)} + 1\right) \operatorname{asin}{\left(2 x \right)} - 343 \left(\cot^{2}{\left(7 x \right)} + 1\right) \left(3 \cot^{2}{\left(7 x \right)} + 1\right) \operatorname{asin}^{3}{\left(2 x \right)} + 12 \left(\frac{12 x^{2} \operatorname{asin}^{2}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} + \frac{12 x \operatorname{asin}{\left(2 x \right)}}{\left(4 x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}^{2}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right) \cot{\left(7 x \right)} + \frac{882 \left(\cot^{2}{\left(7 x \right)} + 1\right) \cot{\left(7 x \right)} \operatorname{asin}^{2}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}\right)$$
Gráfico