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y=(1-cosx)/(2^x+3)
Derivada de la función/ -cosx/ y=(1-cosx)/(2^x+3)

Derivada de y=(1-cosx)/(2^x+3)

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

Ha introducido [src] 
1 - cos(x)
----------
   x      
  2  + 3
1−cos⁡(x)2x+3\frac{1 - \cos{\left(x \right)}}{2^{x} + 3} 
(1 - cos(x))/(2^x + 3)
Gráfica
02468-8-6-4-2-10101-1
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
          x                    
sin(x)   2 *(1 - cos(x))*log(2)
------ - ----------------------
 x                     2       
2  + 3         / x    \        
               \2  + 3/
−2x(1−cos⁡(x))log⁡(2)(2x+3)2+sin⁡(x)2x+3- \frac{2^{x} \left(1 - \cos{\left(x \right)}\right) \log{\left(2 \right)}}{\left(2^{x} + 3\right)^{2}} + \frac{\sin{\left(x \right)}}{2^{x} + 3}
Simplificar
Segunda derivada [src] 
                                  /         x \                       
                        x    2    |      2*2  |                       
                       2 *log (2)*|-1 + ------|*(-1 + cos(x))         
     x                            |          x|                       
  2*2 *log(2)*sin(x)              \     3 + 2 /                       
- ------------------ - -------------------------------------- + cos(x)
             x                              x                         
        3 + 2                          3 + 2                          
----------------------------------------------------------------------
                                     x                                
                                3 + 2
−2x(2⋅2x2x+3−1)(cos⁡(x)−1)log⁡(2)22x+3−2⋅2xlog⁡(2)sin⁡(x)2x+3+cos⁡(x)2x+3\frac{- \frac{2^{x} \left(\frac{2 \cdot 2^{x}}{2^{x} + 3} - 1\right) \left(\cos{\left(x \right)} - 1\right) \log{\left(2 \right)}^{2}}{2^{x} + 3} - \frac{2 \cdot 2^{x} \log{\left(2 \right)} \sin{\left(x \right)}}{2^{x} + 3} + \cos{\left(x \right)}}{2^{x} + 3}
Simplificar
Tercera derivada [src] 
                                                        /        x         2*x \                                    
                                x    3                  |     6*2       6*2    |                /         x \       
                               2 *log (2)*(-1 + cos(x))*|1 - ------ + ---------|      x    2    |      2*2  |       
                                                        |         x           2|   3*2 *log (2)*|-1 + ------|*sin(x)
             x                                          |    3 + 2    /     x\ |                |          x|       
          3*2 *cos(x)*log(2)                            \             \3 + 2 / /                \     3 + 2 /       
-sin(x) - ------------------ + ------------------------------------------------- + ---------------------------------
                     x                                    x                                           x             
                3 + 2                                3 + 2                                       3 + 2              
--------------------------------------------------------------------------------------------------------------------
                                                            x                                                       
                                                       3 + 2
3⋅2x(2⋅2x2x+3−1)log⁡(2)2sin⁡(x)2x+3+2x(cos⁡(x)−1)(6⋅22x(2x+3)2−6⋅2x2x+3+1)log⁡(2)32x+3−3⋅2xlog⁡(2)cos⁡(x)2x+3−sin⁡(x)2x+3\frac{\frac{3 \cdot 2^{x} \left(\frac{2 \cdot 2^{x}}{2^{x} + 3} - 1\right) \log{\left(2 \right)}^{2} \sin{\left(x \right)}}{2^{x} + 3} + \frac{2^{x} \left(\cos{\left(x \right)} - 1\right) \left(\frac{6 \cdot 2^{2 x}}{\left(2^{x} + 3\right)^{2}} - \frac{6 \cdot 2^{x}}{2^{x} + 3} + 1\right) \log{\left(2 \right)}^{3}}{2^{x} + 3} - \frac{3 \cdot 2^{x} \log{\left(2 \right)} \cos{\left(x \right)}}{2^{x} + 3} - \sin{\left(x \right)}}{2^{x} + 3}
Simplificar
Gráfico
Derivada de y=(1-cosx)/(2^x+3)
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