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/t
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Derivada de x^(2/5)
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Derivada de 1/ln(x)
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Derivada de f(x)=√x
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Expresiones idénticas
- y=(arcsin^34x)/sin(3x+ uno)
- y es igual a (arc seno de al cubo 4x) dividir por seno de (3x más 1)
- y es igual a (arc seno de al cubo 4x) dividir por seno de (3x más uno)
- y=(arcsin34x)/sin(3x+1)
- y=arcsin34x/sin3x+1
- y=(arcsin³4x)/sin(3x+1)
- y=(arcsin en el grado 34x)/sin(3x+1)
- y=arcsin^34x/sin3x+1
- y=(arcsin^34x) dividir por sin(3x+1)
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Expresiones semejantes
- y=(arcsin^34x)/sin(3x-1)
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Expresiones con funciones
- arcsin
- arcsin(lnx)
- arcsin1/x
- arcsin(4x+1)
- arcsin(x)^sqrt(1-x^2)
- arcsin2^x
- Seno sin
- sin(x)cos(x)
- sin(t)*cos(t)
- sin(3*x^2)/((3*x^2))
- sin(3*x-pi/12)
- sin(5*x+2)
Derivada de y=(arcsin^34x)/sin(3x+1)
Solución
Ha introducido
[src]
3 asin (4*x) ------------ sin(3*x + 1)
$$\frac{\operatorname{asin}^{3}{\left(4 x \right)}}{\sin{\left(3 x + 1 \right)}}$$
asin(4*x)^3/sin(3*x + 1)
Primera derivada
[src]
3 2
3*asin (4*x)*cos(3*x + 1) 12*asin (4*x)
- ------------------------- + ---------------------------
2 ___________
sin (3*x + 1) / 2
\/ 1 - 16*x *sin(3*x + 1)
$$- \frac{3 \cos{\left(3 x + 1 \right)} \operatorname{asin}^{3}{\left(4 x \right)}}{\sin^{2}{\left(3 x + 1 \right)}} + \frac{12 \operatorname{asin}^{2}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}} \sin{\left(3 x + 1 \right)}}$$
Segunda derivada
[src]
/ / 2 \ \
| 32 2 | 2*cos (1 + 3*x)| 64*x*asin(4*x) 24*asin(4*x)*cos(1 + 3*x) |
3*|- ---------- + 3*asin (4*x)*|1 + ---------------| + -------------- - ---------------------------|*asin(4*x)
| 2 | 2 | 3/2 ___________ |
| -1 + 16*x \ sin (1 + 3*x) / / 2\ / 2 |
\ \1 - 16*x / \/ 1 - 16*x *sin(1 + 3*x)/
--------------------------------------------------------------------------------------------------------------
sin(1 + 3*x)
$$\frac{3 \left(\frac{64 x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + 3 \left(1 + \frac{2 \cos^{2}{\left(3 x + 1 \right)}}{\sin^{2}{\left(3 x + 1 \right)}}\right) \operatorname{asin}^{2}{\left(4 x \right)} - \frac{32}{16 x^{2} - 1} - \frac{24 \cos{\left(3 x + 1 \right)} \operatorname{asin}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}} \sin{\left(3 x + 1 \right)}}\right) \operatorname{asin}{\left(4 x \right)}}{\sin{\left(3 x + 1 \right)}}$$
Tercera derivada
[src]
/ / 2 \ / 1 2*x*asin(4*x) \ / 2 \ \
| 2 | 2*cos (1 + 3*x)| 288*|- ---------- + --------------|*asin(4*x)*cos(1 + 3*x) 3 | 6*cos (1 + 3*x)| |
| 108*asin (4*x)*|1 + ---------------| | 2 3/2| 9*asin (4*x)*|5 + ---------------|*cos(1 + 3*x)|
| 2 | 2 | 2 2 | -1 + 16*x / 2\ | | 2 | |
| 128 64*asin (4*x) \ sin (1 + 3*x) / 1536*x*asin(4*x) 3072*x *asin (4*x) \ \1 - 16*x / / \ sin (1 + 3*x) / |
3*|-------------- + -------------- + ------------------------------------ + ---------------- + ------------------ - ---------------------------------------------------------- - -----------------------------------------------|
| 3/2 3/2 ___________ 2 5/2 sin(1 + 3*x) sin(1 + 3*x) |
|/ 2\ / 2\ / 2 / 2\ / 2\ |
\\1 - 16*x / \1 - 16*x / \/ 1 - 16*x \-1 + 16*x / \1 - 16*x / /
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
sin(1 + 3*x)
$$\frac{3 \left(\frac{3072 x^{2} \operatorname{asin}^{2}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{5}{2}}} + \frac{1536 x \operatorname{asin}{\left(4 x \right)}}{\left(16 x^{2} - 1\right)^{2}} - \frac{9 \left(5 + \frac{6 \cos^{2}{\left(3 x + 1 \right)}}{\sin^{2}{\left(3 x + 1 \right)}}\right) \cos{\left(3 x + 1 \right)} \operatorname{asin}^{3}{\left(4 x \right)}}{\sin{\left(3 x + 1 \right)}} - \frac{288 \left(\frac{2 x \operatorname{asin}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - \frac{1}{16 x^{2} - 1}\right) \cos{\left(3 x + 1 \right)} \operatorname{asin}{\left(4 x \right)}}{\sin{\left(3 x + 1 \right)}} + \frac{108 \left(1 + \frac{2 \cos^{2}{\left(3 x + 1 \right)}}{\sin^{2}{\left(3 x + 1 \right)}}\right) \operatorname{asin}^{2}{\left(4 x \right)}}{\sqrt{1 - 16 x^{2}}} + \frac{64 \operatorname{asin}^{2}{\left(4 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + \frac{128}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}\right)}{\sin{\left(3 x + 1 \right)}}$$
Gráfico