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 -2x
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Derivada de (sqrt(x)-1)/sqrt(x^2-x-1)
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Derivada de 7*x
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Derivada de √x
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Expresiones idénticas
- (cos(x+ cinco))^asin(tres *x)
- ( coseno de (x más 5)) en el grado ar coseno de eno de (3 multiplicar por x)
- ( coseno de (x más cinco)) en el grado ar coseno de eno de (tres multiplicar por x)
- (cos(x+5))asin(3*x)
- cosx+5asin3*x
- (cos(x+5))^asin(3x)
- (cos(x+5))asin(3x)
- cosx+5asin3x
- cosx+5^asin3x
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Expresiones semejantes
- (cos(x-5))^asin(3*x)
- (cos(x+5))^arcsin(3*x)
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Expresiones con funciones
- Coseno cos
- cos(x)/((5*x^2))
- cos(x)^(5)
- cos(x)^(25)
- cos(x)/3
- cos(x)/5
- Arcoseno arcsin
- asin(5*x)
- asin(3*x)
- asin(sin(pi)/cos(pi))
- asin(x)/acos(x)
- asint
Derivada de (cos(x+5))^asin(3*x)
Solución
Ha introducido
[src]
asin(3*x) cos (x + 5)
$$\cos^{\operatorname{asin}{\left(3 x \right)}}{\left(x + 5 \right)}$$
cos(x + 5)^asin(3*x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
asin(3*x) /3*log(cos(x + 5)) asin(3*x)*sin(x + 5)\
cos (x + 5)*|----------------- - --------------------|
| __________ cos(x + 5) |
| / 2 |
\ \/ 1 - 9*x /
$$\left(- \frac{\sin{\left(x + 5 \right)} \operatorname{asin}{\left(3 x \right)}}{\cos{\left(x + 5 \right)}} + \frac{3 \log{\left(\cos{\left(x + 5 \right)} \right)}}{\sqrt{1 - 9 x^{2}}}\right) \cos^{\operatorname{asin}{\left(3 x \right)}}{\left(x + 5 \right)}$$
Segunda derivada
[src]
/ 2 2 \
asin(3*x) |/ 3*log(cos(5 + x)) asin(3*x)*sin(5 + x)\ sin (5 + x)*asin(3*x) 6*sin(5 + x) 27*x*log(cos(5 + x))|
cos (5 + x)*||- ----------------- + --------------------| - asin(3*x) - --------------------- - ------------------------ + --------------------|
|| __________ cos(5 + x) | 2 __________ 3/2 |
|| / 2 | cos (5 + x) / 2 / 2\ |
\\ \/ 1 - 9*x / \/ 1 - 9*x *cos(5 + x) \1 - 9*x / /
$$\left(\frac{27 x \log{\left(\cos{\left(x + 5 \right)} \right)}}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}} + \left(\frac{\sin{\left(x + 5 \right)} \operatorname{asin}{\left(3 x \right)}}{\cos{\left(x + 5 \right)}} - \frac{3 \log{\left(\cos{\left(x + 5 \right)} \right)}}{\sqrt{1 - 9 x^{2}}}\right)^{2} - \frac{\sin^{2}{\left(x + 5 \right)} \operatorname{asin}{\left(3 x \right)}}{\cos^{2}{\left(x + 5 \right)}} - \operatorname{asin}{\left(3 x \right)} - \frac{6 \sin{\left(x + 5 \right)}}{\sqrt{1 - 9 x^{2}} \cos{\left(x + 5 \right)}}\right) \cos^{\operatorname{asin}{\left(3 x \right)}}{\left(x + 5 \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 3 2 \
asin(3*x) | / 3*log(cos(5 + x)) asin(3*x)*sin(5 + x)\ 9 / 3*log(cos(5 + x)) asin(3*x)*sin(5 + x)\ |sin (5 + x)*asin(3*x) 27*x*log(cos(5 + x)) 6*sin(5 + x) | 27*log(cos(5 + x)) 9*sin (5 + x) 2*asin(3*x)*sin(5 + x) 2*sin (5 + x)*asin(3*x) 729*x *log(cos(5 + x)) 81*x*sin(5 + x) |
cos (5 + x)*|- |- ----------------- + --------------------| - ------------- + 3*|- ----------------- + --------------------|*|--------------------- - -------------------- + ------------------------ + asin(3*x)| + ------------------ - ------------------------- - ---------------------- - ----------------------- + ---------------------- - ------------------------|
| | __________ cos(5 + x) | __________ | __________ cos(5 + x) | | 2 3/2 __________ | 3/2 __________ cos(5 + x) 3 5/2 3/2 |
| | / 2 | / 2 | / 2 | | cos (5 + x) / 2\ / 2 | / 2\ / 2 2 cos (5 + x) / 2\ / 2\ |
\ \ \/ 1 - 9*x / \/ 1 - 9*x \ \/ 1 - 9*x / \ \1 - 9*x / \/ 1 - 9*x *cos(5 + x) / \1 - 9*x / \/ 1 - 9*x *cos (5 + x) \1 - 9*x / \1 - 9*x / *cos(5 + x)/
$$\left(\frac{729 x^{2} \log{\left(\cos{\left(x + 5 \right)} \right)}}{\left(1 - 9 x^{2}\right)^{\frac{5}{2}}} - \frac{81 x \sin{\left(x + 5 \right)}}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}} \cos{\left(x + 5 \right)}} - \left(\frac{\sin{\left(x + 5 \right)} \operatorname{asin}{\left(3 x \right)}}{\cos{\left(x + 5 \right)}} - \frac{3 \log{\left(\cos{\left(x + 5 \right)} \right)}}{\sqrt{1 - 9 x^{2}}}\right)^{3} + 3 \left(\frac{\sin{\left(x + 5 \right)} \operatorname{asin}{\left(3 x \right)}}{\cos{\left(x + 5 \right)}} - \frac{3 \log{\left(\cos{\left(x + 5 \right)} \right)}}{\sqrt{1 - 9 x^{2}}}\right) \left(- \frac{27 x \log{\left(\cos{\left(x + 5 \right)} \right)}}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}} + \frac{\sin^{2}{\left(x + 5 \right)} \operatorname{asin}{\left(3 x \right)}}{\cos^{2}{\left(x + 5 \right)}} + \operatorname{asin}{\left(3 x \right)} + \frac{6 \sin{\left(x + 5 \right)}}{\sqrt{1 - 9 x^{2}} \cos{\left(x + 5 \right)}}\right) - \frac{2 \sin^{3}{\left(x + 5 \right)} \operatorname{asin}{\left(3 x \right)}}{\cos^{3}{\left(x + 5 \right)}} - \frac{2 \sin{\left(x + 5 \right)} \operatorname{asin}{\left(3 x \right)}}{\cos{\left(x + 5 \right)}} - \frac{9 \sin^{2}{\left(x + 5 \right)}}{\sqrt{1 - 9 x^{2}} \cos^{2}{\left(x + 5 \right)}} - \frac{9}{\sqrt{1 - 9 x^{2}}} + \frac{27 \log{\left(\cos{\left(x + 5 \right)} \right)}}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}}\right) \cos^{\operatorname{asin}{\left(3 x \right)}}{\left(x + 5 \right)}$$
Gráfico