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^((3*x)^2)
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Derivada de d/dx(x)
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Derivada de (cos(x))^x^2
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Derivada de (8*x-15)^5
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Expresiones idénticas
- y=arcsin^ tres (4x)*ctg(3x)
- y es igual a arc seno de al cubo (4x) multiplicar por ctg(3x)
- y es igual a arc seno de en el grado tres (4x) multiplicar por ctg(3x)
- y=arcsin3(4x)*ctg(3x)
- y=arcsin34x*ctg3x
- y=arcsin³(4x)*ctg(3x)
- y=arcsin en el grado 3(4x)*ctg(3x)
- y=arcsin^3(4x)ctg(3x)
- y=arcsin3(4x)ctg(3x)
- y=arcsin34xctg3x
- y=arcsin^34xctg3x
Derivada de y=arcsin^3(4x)*ctg(3x)
Solución
Ha introducido
[src]
3 asin (4*x)*cot(3*x)
$$\cot{\left(3 x \right)} \operatorname{asin}^{3}{\left(4 x \right)}$$
asin(4*x)^3*cot(3*x)
Primera derivada
[src]
2
3 / 2 \ 12*asin (4*x)*cot(3*x)
asin (4*x)*\-3 - 3*cot (3*x)/ + ----------------------
___________
/ 2
\/ 1 - 16*x
$$\left(- 3 \cot^{2}{\left(3 x \right)} - 3\right) \operatorname{asin}^{3}{\left(4 x \right)} + \frac{12 \cot{\left(3 x \right)} \operatorname{asin}^{2}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}$$
Segunda derivada
[src]
/ / 2 \ \ | / 1 2*x*asin(4*x) \ 12*\1 + cot (3*x)/*asin(4*x) 2 / 2 \ | 6*|16*|- ---------- + --------------|*cot(3*x) - ---------------------------- + 3*asin (4*x)*\1 + cot (3*x)/*cot(3*x)|*asin(4*x) | | 2 3/2| ___________ | | | -1 + 16*x / 2\ | / 2 | \ \ \1 - 16*x / / \/ 1 - 16*x /
$$6 \left(16 \left(\frac{2 x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{16 x^{2} - 1}\right) \cot{\left(3 x \right)} + 3 \left(\cot^{2}{\left(3 x \right)} + 1\right) \cot{\left(3 x \right)} \operatorname{asin}^{2}{\left(4 x \right)} - \frac{12 \left(\cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}\right) \operatorname{asin}{\left(4 x \right)}$$
Tercera derivada
[src]
/ / 2 2 2 \ 2 / 2 \ \ | | 2 asin (4*x) 24*x*asin(4*x) 48*x *asin (4*x)| / 2 \ / 1 2*x*asin(4*x) \ 3 / 2 \ / 2 \ 108*asin (4*x)*\1 + cot (3*x)/*cot(3*x)| 6*|32*|-------------- + -------------- + -------------- + ----------------|*cot(3*x) - 144*\1 + cot (3*x)/*|- ---------- + --------------|*asin(4*x) - 9*asin (4*x)*\1 + cot (3*x)/*\1 + 3*cot (3*x)/ + ---------------------------------------| | | 3/2 3/2 2 5/2 | | 2 3/2| ___________ | | |/ 2\ / 2\ / 2\ / 2\ | | -1 + 16*x / 2\ | / 2 | \ \\1 - 16*x / \1 - 16*x / \-1 + 16*x / \1 - 16*x / / \ \1 - 16*x / / \/ 1 - 16*x /
$$6 \left(- 144 \left(\frac{2 x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{16 x^{2} - 1}\right) \left(\cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}{\left(4 x \right)} - 9 \left(\cot^{2}{\left(3 x \right)} + 1\right) \left(3 \cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}^{3}{\left(4 x \right)} + 32 \left(\frac{48 x^{2} \operatorname{asin}^{2}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{5}{2}}} + \frac{24 x \operatorname{asin}{\left(4 x \right)}}{\left(16 x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}^{2}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}\right) \cot{\left(3 x \right)} + \frac{108 \left(\cot^{2}{\left(3 x \right)} + 1\right) \cot{\left(3 x \right)} \operatorname{asin}^{2}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}}\right)$$
Gráfico