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^-1
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Derivada de (x^2)'
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Derivada de y
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Derivada de (x^5+1)
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Expresiones idénticas
- y=(cos)^sec(x)
- y es igual a ( coseno de ) en el grado sec(x)
- y=(cos)sec(x)
- y=cossecx
- y=cos^secx
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Expresiones con funciones
- Coseno cos
- cos(x)/2
- cosx/lnx
- cos(x)^(1/2)
- cos(x)*log(x)
- cos(x)^(23)
- sec
- sec
- sec^(2)x
- secx/tanx
- sec√(1-x²)
Derivada de y=(cos)^sec(x)
Solución
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
sec(x) / sec(x)*sin(x)\
cos (x)*|log(cos(x))*sec(x)*tan(x) - -------------|
\ cos(x) /
$$\left(\log{\left(\cos{\left(x \right)} \right)} \tan{\left(x \right)} \sec{\left(x \right)} - \frac{\sin{\left(x \right)} \sec{\left(x \right)}}{\cos{\left(x \right)}}\right) \cos^{\sec{\left(x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 \
sec(x) | / sin(x)\ 2 / 2 \ sin (x) 2*sin(x)*tan(x)|
cos (x)*|-1 + |log(cos(x))*tan(x) - ------| *sec(x) + tan (x)*log(cos(x)) + \1 + tan (x)/*log(cos(x)) - ------- - ---------------|*sec(x)
| \ cos(x)/ 2 cos(x) |
\ cos (x) /
$$\left(\left(\log{\left(\cos{\left(x \right)} \right)} \tan{\left(x \right)} - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}\right)^{2} \sec{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} + \log{\left(\cos{\left(x \right)} \right)} \tan^{2}{\left(x \right)} - \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} - \frac{2 \sin{\left(x \right)} \tan{\left(x \right)}}{\cos{\left(x \right)}} - 1\right) \cos^{\sec{\left(x \right)}}{\left(x \right)} \sec{\left(x \right)}$$
Tercera derivada
[src]
/ 3 3 2 / 2 \ 2 / 2 \ \
sec(x) | / sin(x)\ 2 3 2*sin(x) 2*sin (x) 3*tan (x)*sin(x) 3*\1 + tan (x)/*sin(x) 3*sin (x)*tan(x) / sin(x)\ | sin (x) 2 / 2 \ 2*sin(x)*tan(x)| / 2 \ |
cos (x)*|-3*tan(x) + |log(cos(x))*tan(x) - ------| *sec (x) + tan (x)*log(cos(x)) - -------- - --------- - ---------------- - ---------------------- - ---------------- - 3*|log(cos(x))*tan(x) - ------|*|1 + ------- - tan (x)*log(cos(x)) - \1 + tan (x)/*log(cos(x)) + ---------------|*sec(x) + 5*\1 + tan (x)/*log(cos(x))*tan(x)|*sec(x)
| \ cos(x)/ cos(x) 3 cos(x) cos(x) 2 \ cos(x)/ | 2 cos(x) | |
\ cos (x) cos (x) \ cos (x) / /
$$\left(\left(\log{\left(\cos{\left(x \right)} \right)} \tan{\left(x \right)} - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}\right)^{3} \sec^{2}{\left(x \right)} - 3 \left(\log{\left(\cos{\left(x \right)} \right)} \tan{\left(x \right)} - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}\right) \left(- \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} - \log{\left(\cos{\left(x \right)} \right)} \tan^{2}{\left(x \right)} + \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + \frac{2 \sin{\left(x \right)} \tan{\left(x \right)}}{\cos{\left(x \right)}} + 1\right) \sec{\left(x \right)} + 5 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} \tan{\left(x \right)} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} + \log{\left(\cos{\left(x \right)} \right)} \tan^{3}{\left(x \right)} - \frac{2 \sin^{3}{\left(x \right)}}{\cos^{3}{\left(x \right)}} - \frac{3 \sin^{2}{\left(x \right)} \tan{\left(x \right)}}{\cos^{2}{\left(x \right)}} - \frac{3 \sin{\left(x \right)} \tan^{2}{\left(x \right)}}{\cos{\left(x \right)}} - \frac{2 \sin{\left(x \right)}}{\cos{\left(x \right)}} - 3 \tan{\left(x \right)}\right) \cos^{\sec{\left(x \right)}}{\left(x \right)} \sec{\left(x \right)}$$
Gráfico