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arctg(x+cosx)
Derivada de la función/ arctg/ arctg(x+cosx)

Derivada de arctg(x+cosx)

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

Ha introducido [src] 
atan(x + cos(x))
atan⁡(x+cos⁡(x))\operatorname{atan}{\left(x + \cos{\left(x \right)} \right)} 
atan(x + cos(x))
Gráfica
02468-8-6-4-2-10105-5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
    1 - sin(x)   
-----------------
                2
1 + (x + cos(x))
1−sin⁡(x)(x+cos⁡(x))2+1\frac{1 - \sin{\left(x \right)}}{\left(x + \cos{\left(x \right)}\right)^{2} + 1}
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Segunda derivada [src] 
 /               2                      \ 
 |2*(-1 + sin(x)) *(x + cos(x))         | 
-|----------------------------- + cos(x)| 
 |                      2               | 
 \      1 + (x + cos(x))                / 
------------------------------------------
                            2             
            1 + (x + cos(x))
−2(x+cos⁡(x))(sin⁡(x)−1)2(x+cos⁡(x))2+1+cos⁡(x)(x+cos⁡(x))2+1- \frac{\frac{2 \left(x + \cos{\left(x \right)}\right) \left(\sin{\left(x \right)} - 1\right)^{2}}{\left(x + \cos{\left(x \right)}\right)^{2} + 1} + \cos{\left(x \right)}}{\left(x + \cos{\left(x \right)}\right)^{2} + 1}
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Tercera derivada [src] 
                3                  3             2                                               
 2*(-1 + sin(x))    8*(-1 + sin(x)) *(x + cos(x))    6*(-1 + sin(x))*(x + cos(x))*cos(x)         
----------------- - ------------------------------ - ----------------------------------- + sin(x)
                2                           2                                 2                  
1 + (x + cos(x))         /                2\                  1 + (x + cos(x))                   
                         \1 + (x + cos(x)) /                                                     
-------------------------------------------------------------------------------------------------
                                                        2                                        
                                        1 + (x + cos(x))
−8(x+cos⁡(x))2(sin⁡(x)−1)3((x+cos⁡(x))2+1)2−6(x+cos⁡(x))(sin⁡(x)−1)cos⁡(x)(x+cos⁡(x))2+1+sin⁡(x)+2(sin⁡(x)−1)3(x+cos⁡(x))2+1(x+cos⁡(x))2+1\frac{- \frac{8 \left(x + \cos{\left(x \right)}\right)^{2} \left(\sin{\left(x \right)} - 1\right)^{3}}{\left(\left(x + \cos{\left(x \right)}\right)^{2} + 1\right)^{2}} - \frac{6 \left(x + \cos{\left(x \right)}\right) \left(\sin{\left(x \right)} - 1\right) \cos{\left(x \right)}}{\left(x + \cos{\left(x \right)}\right)^{2} + 1} + \sin{\left(x \right)} + \frac{2 \left(\sin{\left(x \right)} - 1\right)^{3}}{\left(x + \cos{\left(x \right)}\right)^{2} + 1}}{\left(x + \cos{\left(x \right)}\right)^{2} + 1}
Simplificar
Gráfico
Derivada de arctg(x+cosx)
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