Sr Examen

Otras calculadoras

y=cosx^cosx
Derivada de la función/ y=cos/ x^cosx/ y=cosx^cosx

Derivada de y=cosx^cosx

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

Gráfico:

interior superior

Definida a trozos:

Solución

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

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

    Perola derivada

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

Respuesta:

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

Gráfica
02468-8-6-4-2-10105-5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
   cos(x)                                  
cos      (x)*(-sin(x) - log(cos(x))*sin(x))
(−log⁡(cos⁡(x))sin⁡(x)−sin⁡(x))cos⁡cos⁡(x)(x)\left(- \log{\left(\cos{\left(x \right)} \right)} \sin{\left(x \right)} - \sin{\left(x \right)}\right) \cos^{\cos{\left(x \right)}}{\left(x \right)}
Simplificar
Segunda derivada [src] 
             /                                          2                        \
   cos(x)    |                           2    2      sin (x)                     |
cos      (x)*|-cos(x) + (1 + log(cos(x))) *sin (x) + ------- - cos(x)*log(cos(x))|
             \                                        cos(x)                     /
((log⁡(cos⁡(x))+1)2sin⁡2(x)−log⁡(cos⁡(x))cos⁡(x)+sin⁡2(x)cos⁡(x)−cos⁡(x))cos⁡cos⁡(x)(x)\left(\left(\log{\left(\cos{\left(x \right)} \right)} + 1\right)^{2} \sin^{2}{\left(x \right)} - \log{\left(\cos{\left(x \right)} \right)} \cos{\left(x \right)} + \frac{\sin^{2}{\left(x \right)}}{\cos{\left(x \right)}} - \cos{\left(x \right)}\right) \cos^{\cos{\left(x \right)}}{\left(x \right)}
Simplificar
Tercera derivada [src] 
             /       2                                                       /                        2            \              \       
   cos(x)    |    sin (x)                    3    2                          |                     sin (x)         |              |       
cos      (x)*|4 + ------- - (1 + log(cos(x))) *sin (x) + 3*(1 + log(cos(x)))*|cos(x)*log(cos(x)) - ------- + cos(x)| + log(cos(x))|*sin(x)
             |       2                                                       \                      cos(x)         /              |       
             \    cos (x)                                                                                                         /
(−(log⁡(cos⁡(x))+1)3sin⁡2(x)+3(log⁡(cos⁡(x))+1)(log⁡(cos⁡(x))cos⁡(x)−sin⁡2(x)cos⁡(x)+cos⁡(x))+log⁡(cos⁡(x))+sin⁡2(x)cos⁡2(x)+4)sin⁡(x)cos⁡cos⁡(x)(x)\left(- \left(\log{\left(\cos{\left(x \right)} \right)} + 1\right)^{3} \sin^{2}{\left(x \right)} + 3 \left(\log{\left(\cos{\left(x \right)} \right)} + 1\right) \left(\log{\left(\cos{\left(x \right)} \right)} \cos{\left(x \right)} - \frac{\sin^{2}{\left(x \right)}}{\cos{\left(x \right)}} + \cos{\left(x \right)}\right) + \log{\left(\cos{\left(x \right)} \right)} + \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 4\right) \sin{\left(x \right)} \cos^{\cos{\left(x \right)}}{\left(x \right)}
Simplificar
Gráfico
Derivada de y=cosx^cosx
    © Sr Examen – Калькулятор