Sr Examen

Otras calculadoras

соsx^sin(2*x)
Derivada de la función/ x^sin/ sin(2*x)/ соsx^sin(2*x)

Derivada de соsx^sin(2*x)

Función f() - derivada -er orden en el punto
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   sin(2*x)   
cos        (x)
cos⁡sin⁡(2x)(x)\cos^{\sin{\left(2 x \right)}}{\left(x \right)} 
cos(x)^sin(2*x)
Solución detallada

  1. No logro encontrar los pasos en la búsqueda de esta derivada.

    Perola derivada

    (log⁡(sin⁡(2x))+1)sin⁡sin⁡(2x)(2x)\left(\log{\left(\sin{\left(2 x \right)} \right)} + 1\right) \sin^{\sin{\left(2 x \right)}}{\left(2 x \right)}

Respuesta:

(log⁡(sin⁡(2x))+1)sin⁡sin⁡(2x)(2x)\left(\log{\left(\sin{\left(2 x \right)} \right)} + 1\right) \sin^{\sin{\left(2 x \right)}}{\left(2 x \right)}

Gráfica
02468-8-6-4-2-1010-1010
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
   sin(2*x)    /                         sin(x)*sin(2*x)\
cos        (x)*|2*cos(2*x)*log(cos(x)) - ---------------|
               \                              cos(x)    /
(2log⁡(cos⁡(x))cos⁡(2x)−sin⁡(x)sin⁡(2x)cos⁡(x))cos⁡sin⁡(2x)(x)\left(2 \log{\left(\cos{\left(x \right)} \right)} \cos{\left(2 x \right)} - \frac{\sin{\left(x \right)} \sin{\left(2 x \right)}}{\cos{\left(x \right)}}\right) \cos^{\sin{\left(2 x \right)}}{\left(x \right)}
Simplificar
Segunda derivada [src] 
               /                                          2                                          2                                \
   sin(2*x)    |/                         sin(x)*sin(2*x)\                                        sin (x)*sin(2*x)   4*cos(2*x)*sin(x)|
cos        (x)*||2*cos(2*x)*log(cos(x)) - ---------------|  - sin(2*x) - 4*log(cos(x))*sin(2*x) - ---------------- - -----------------|
               |\                              cos(x)    /                                               2                 cos(x)     |
               \                                                                                      cos (x)                         /
((2log⁡(cos⁡(x))cos⁡(2x)−sin⁡(x)sin⁡(2x)cos⁡(x))2−4log⁡(cos⁡(x))sin⁡(2x)−sin⁡2(x)sin⁡(2x)cos⁡2(x)−4sin⁡(x)cos⁡(2x)cos⁡(x)−sin⁡(2x))cos⁡sin⁡(2x)(x)\left(\left(2 \log{\left(\cos{\left(x \right)} \right)} \cos{\left(2 x \right)} - \frac{\sin{\left(x \right)} \sin{\left(2 x \right)}}{\cos{\left(x \right)}}\right)^{2} - 4 \log{\left(\cos{\left(x \right)} \right)} \sin{\left(2 x \right)} - \frac{\sin^{2}{\left(x \right)} \sin{\left(2 x \right)}}{\cos^{2}{\left(x \right)}} - \frac{4 \sin{\left(x \right)} \cos{\left(2 x \right)}}{\cos{\left(x \right)}} - \sin{\left(2 x \right)}\right) \cos^{\sin{\left(2 x \right)}}{\left(x \right)}
Simplificar
Tercera derivada [src] 
               /                                          3                                                                                      /                            2                                           \        2                    3                                 \
   sin(2*x)    |/                         sin(x)*sin(2*x)\                                            /                         sin(x)*sin(2*x)\ |                         sin (x)*sin(2*x)   4*cos(2*x)*sin(x)           |   6*sin (x)*cos(2*x)   2*sin (x)*sin(2*x)   10*sin(x)*sin(2*x)|
cos        (x)*||2*cos(2*x)*log(cos(x)) - ---------------|  - 6*cos(2*x) - 8*cos(2*x)*log(cos(x)) - 3*|2*cos(2*x)*log(cos(x)) - ---------------|*|4*log(cos(x))*sin(2*x) + ---------------- + ----------------- + sin(2*x)| - ------------------ - ------------------ + ------------------|
               |\                              cos(x)    /                                            \                              cos(x)    / |                                2                 cos(x)                |           2                    3                  cos(x)      |
               \                                                                                                                                 \                             cos (x)                                    /        cos (x)              cos (x)                           /
((2log⁡(cos⁡(x))cos⁡(2x)−sin⁡(x)sin⁡(2x)cos⁡(x))3−3(2log⁡(cos⁡(x))cos⁡(2x)−sin⁡(x)sin⁡(2x)cos⁡(x))(4log⁡(cos⁡(x))sin⁡(2x)+sin⁡2(x)sin⁡(2x)cos⁡2(x)+4sin⁡(x)cos⁡(2x)cos⁡(x)+sin⁡(2x))−8log⁡(cos⁡(x))cos⁡(2x)−2sin⁡3(x)sin⁡(2x)cos⁡3(x)−6sin⁡2(x)cos⁡(2x)cos⁡2(x)+10sin⁡(x)sin⁡(2x)cos⁡(x)−6cos⁡(2x))cos⁡sin⁡(2x)(x)\left(\left(2 \log{\left(\cos{\left(x \right)} \right)} \cos{\left(2 x \right)} - \frac{\sin{\left(x \right)} \sin{\left(2 x \right)}}{\cos{\left(x \right)}}\right)^{3} - 3 \left(2 \log{\left(\cos{\left(x \right)} \right)} \cos{\left(2 x \right)} - \frac{\sin{\left(x \right)} \sin{\left(2 x \right)}}{\cos{\left(x \right)}}\right) \left(4 \log{\left(\cos{\left(x \right)} \right)} \sin{\left(2 x \right)} + \frac{\sin^{2}{\left(x \right)} \sin{\left(2 x \right)}}{\cos^{2}{\left(x \right)}} + \frac{4 \sin{\left(x \right)} \cos{\left(2 x \right)}}{\cos{\left(x \right)}} + \sin{\left(2 x \right)}\right) - 8 \log{\left(\cos{\left(x \right)} \right)} \cos{\left(2 x \right)} - \frac{2 \sin^{3}{\left(x \right)} \sin{\left(2 x \right)}}{\cos^{3}{\left(x \right)}} - \frac{6 \sin^{2}{\left(x \right)} \cos{\left(2 x \right)}}{\cos^{2}{\left(x \right)}} + \frac{10 \sin{\left(x \right)} \sin{\left(2 x \right)}}{\cos{\left(x \right)}} - 6 \cos{\left(2 x \right)}\right) \cos^{\sin{\left(2 x \right)}}{\left(x \right)}
Simplificar
Gráfico
Derivada de соsx^sin(2*x)
    © Sr Examen – Калькулятор