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 -5*tan(2*t)-4*cot(4*t)
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Derivada de п
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Derivada de y=x•cosx
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Derivada de y=(x³)(2x⁴)
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Expresiones idénticas
- y=(cos(x+ dos))^arcsin5x
- y es igual a ( coseno de (x más 2)) en el grado arc seno de 5x
- y es igual a ( coseno de (x más dos)) en el grado arc seno de 5x
- y=(cos(x+2))arcsin5x
- y=cosx+2arcsin5x
- y=cosx+2^arcsin5x
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Expresiones semejantes
- y=(cos(x-2))^arcsin5x
Derivada de y=(cos(x+2))^arcsin5x
Solución
Ha introducido
[src]
asin(5*x) cos (x + 2)
$$\cos^{\operatorname{asin}{\left(5 x \right)}}{\left(x + 2 \right)}$$
cos(x + 2)^asin(5*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(5*x) /5*log(cos(x + 2)) asin(5*x)*sin(x + 2)\
cos (x + 2)*|----------------- - --------------------|
| ___________ cos(x + 2) |
| / 2 |
\ \/ 1 - 25*x /
$$\left(- \frac{\sin{\left(x + 2 \right)} \operatorname{asin}{\left(5 x \right)}}{\cos{\left(x + 2 \right)}} + \frac{5 \log{\left(\cos{\left(x + 2 \right)} \right)}}{\sqrt{1 - 25 x^{2}}}\right) \cos^{\operatorname{asin}{\left(5 x \right)}}{\left(x + 2 \right)}$$
Segunda derivada
[src]
/ 2 2 \
asin(5*x) |/ 5*log(cos(2 + x)) asin(5*x)*sin(2 + x)\ sin (2 + x)*asin(5*x) 10*sin(2 + x) 125*x*log(cos(2 + x))|
cos (2 + x)*||- ----------------- + --------------------| - asin(5*x) - --------------------- - ------------------------- + ---------------------|
|| ___________ cos(2 + x) | 2 ___________ 3/2 |
|| / 2 | cos (2 + x) / 2 / 2\ |
\\ \/ 1 - 25*x / \/ 1 - 25*x *cos(2 + x) \1 - 25*x / /
$$\left(\frac{125 x \log{\left(\cos{\left(x + 2 \right)} \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + \left(\frac{\sin{\left(x + 2 \right)} \operatorname{asin}{\left(5 x \right)}}{\cos{\left(x + 2 \right)}} - \frac{5 \log{\left(\cos{\left(x + 2 \right)} \right)}}{\sqrt{1 - 25 x^{2}}}\right)^{2} - \frac{\sin^{2}{\left(x + 2 \right)} \operatorname{asin}{\left(5 x \right)}}{\cos^{2}{\left(x + 2 \right)}} - \operatorname{asin}{\left(5 x \right)} - \frac{10 \sin{\left(x + 2 \right)}}{\sqrt{1 - 25 x^{2}} \cos{\left(x + 2 \right)}}\right) \cos^{\operatorname{asin}{\left(5 x \right)}}{\left(x + 2 \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 3 2 \
asin(5*x) | / 5*log(cos(2 + x)) asin(5*x)*sin(2 + x)\ 15 / 5*log(cos(2 + x)) asin(5*x)*sin(2 + x)\ |sin (2 + x)*asin(5*x) 125*x*log(cos(2 + x)) 10*sin(2 + x) | 125*log(cos(2 + x)) 15*sin (2 + x) 2*asin(5*x)*sin(2 + x) 2*sin (2 + x)*asin(5*x) 9375*x *log(cos(2 + x)) 375*x*sin(2 + x) |
cos (2 + x)*|- |- ----------------- + --------------------| - -------------- + 3*|- ----------------- + --------------------|*|--------------------- - --------------------- + ------------------------- + asin(5*x)| + ------------------- - -------------------------- - ---------------------- - ----------------------- + ----------------------- - -------------------------|
| | ___________ cos(2 + x) | ___________ | ___________ cos(2 + x) | | 2 3/2 ___________ | 3/2 ___________ cos(2 + x) 3 5/2 3/2 |
| | / 2 | / 2 | / 2 | | cos (2 + x) / 2\ / 2 | / 2\ / 2 2 cos (2 + x) / 2\ / 2\ |
\ \ \/ 1 - 25*x / \/ 1 - 25*x \ \/ 1 - 25*x / \ \1 - 25*x / \/ 1 - 25*x *cos(2 + x) / \1 - 25*x / \/ 1 - 25*x *cos (2 + x) \1 - 25*x / \1 - 25*x / *cos(2 + x)/
$$\left(\frac{9375 x^{2} \log{\left(\cos{\left(x + 2 \right)} \right)}}{\left(1 - 25 x^{2}\right)^{\frac{5}{2}}} - \frac{375 x \sin{\left(x + 2 \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}} \cos{\left(x + 2 \right)}} - \left(\frac{\sin{\left(x + 2 \right)} \operatorname{asin}{\left(5 x \right)}}{\cos{\left(x + 2 \right)}} - \frac{5 \log{\left(\cos{\left(x + 2 \right)} \right)}}{\sqrt{1 - 25 x^{2}}}\right)^{3} + 3 \left(\frac{\sin{\left(x + 2 \right)} \operatorname{asin}{\left(5 x \right)}}{\cos{\left(x + 2 \right)}} - \frac{5 \log{\left(\cos{\left(x + 2 \right)} \right)}}{\sqrt{1 - 25 x^{2}}}\right) \left(- \frac{125 x \log{\left(\cos{\left(x + 2 \right)} \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + \frac{\sin^{2}{\left(x + 2 \right)} \operatorname{asin}{\left(5 x \right)}}{\cos^{2}{\left(x + 2 \right)}} + \operatorname{asin}{\left(5 x \right)} + \frac{10 \sin{\left(x + 2 \right)}}{\sqrt{1 - 25 x^{2}} \cos{\left(x + 2 \right)}}\right) - \frac{2 \sin^{3}{\left(x + 2 \right)} \operatorname{asin}{\left(5 x \right)}}{\cos^{3}{\left(x + 2 \right)}} - \frac{2 \sin{\left(x + 2 \right)} \operatorname{asin}{\left(5 x \right)}}{\cos{\left(x + 2 \right)}} - \frac{15 \sin^{2}{\left(x + 2 \right)}}{\sqrt{1 - 25 x^{2}} \cos^{2}{\left(x + 2 \right)}} - \frac{15}{\sqrt{1 - 25 x^{2}}} + \frac{125 \log{\left(\cos{\left(x + 2 \right)} \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}}\right) \cos^{\operatorname{asin}{\left(5 x \right)}}{\left(x + 2 \right)}$$
Gráfico