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y=2ch(x)-(3-cos(x))tg(x)-((e^x)/√x+1)
Derivada de la función/ y=2ch(x)-(3-cos(x))tg(x)-((e^x)/√x+1)

Derivada de y=2ch(x)-(3-cos(x))tg(x)-((e^x)/√x+1)

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

Ha introducido [src] 
                                       x     
                                      E      
2*cosh(x) - (3 - cos(x))*tan(x) + - ----- - 1
                                      ___    
                                    \/ x
(−exx−1)+(−(3−cos⁡(x))tan⁡(x)+2cosh⁡(x))\left(- \frac{e^{x}}{\sqrt{x}} - 1\right) + \left(- \left(3 - \cos{\left(x \right)}\right) \tan{\left(x \right)} + 2 \cosh{\left(x \right)}\right) 
2*cosh(x) - (3 - cos(x))*tan(x) - E^x/sqrt(x) - 1
Gráfica
02468-8-6-4-2-1010-5000050000
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Primera derivada [src] 
                                             x        x                 
            /       2   \                   e        e                  
2*sinh(x) + \1 + tan (x)/*(-3 + cos(x)) + ------ - ----- - sin(x)*tan(x)
                                             3/2     ___                
                                          2*x      \/ x
(cos⁡(x)−3)(tan⁡2(x)+1)−sin⁡(x)tan⁡(x)+2sinh⁡(x)−exx+ex2x32\left(\cos{\left(x \right)} - 3\right) \left(\tan^{2}{\left(x \right)} + 1\right) - \sin{\left(x \right)} \tan{\left(x \right)} + 2 \sinh{\left(x \right)} - \frac{e^{x}}{\sqrt{x}} + \frac{e^{x}}{2 x^{\frac{3}{2}}}
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Segunda derivada [src] 
              x       x                                                 x                                        
             e       e                       /       2   \           3*e       /       2   \                     
2*cosh(x) + ---- - ----- - cos(x)*tan(x) - 2*\1 + tan (x)/*sin(x) - ------ + 2*\1 + tan (x)/*(-3 + cos(x))*tan(x)
             3/2     ___                                               5/2                                       
            x      \/ x                                             4*x
2(cos⁡(x)−3)(tan⁡2(x)+1)tan⁡(x)−2(tan⁡2(x)+1)sin⁡(x)−cos⁡(x)tan⁡(x)+2cosh⁡(x)−exx+exx32−3ex4x522 \left(\cos{\left(x \right)} - 3\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - 2 \left(\tan^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)} - \cos{\left(x \right)} \tan{\left(x \right)} + 2 \cosh{\left(x \right)} - \frac{e^{x}}{\sqrt{x}} + \frac{e^{x}}{x^{\frac{3}{2}}} - \frac{3 e^{x}}{4 x^{\frac{5}{2}}}
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Tercera derivada [src] 
                               x                                            2                     x        x        x                                                                         
                              e       /       2   \            /       2   \                   9*e      3*e     15*e       /       2   \                      2    /       2   \              
2*sinh(x) + sin(x)*tan(x) - ----- - 3*\1 + tan (x)/*cos(x) + 2*\1 + tan (x)/ *(-3 + cos(x)) - ------ + ------ + ------ - 6*\1 + tan (x)/*sin(x)*tan(x) + 4*tan (x)*\1 + tan (x)/*(-3 + cos(x))
                              ___                                                                5/2      3/2      7/2                                                                        
                            \/ x                                                              4*x      2*x      8*x
2(cos⁡(x)−3)(tan⁡2(x)+1)2+4(cos⁡(x)−3)(tan⁡2(x)+1)tan⁡2(x)−6(tan⁡2(x)+1)sin⁡(x)tan⁡(x)−3(tan⁡2(x)+1)cos⁡(x)+sin⁡(x)tan⁡(x)+2sinh⁡(x)−exx+3ex2x32−9ex4x52+15ex8x722 \left(\cos{\left(x \right)} - 3\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 \left(\cos{\left(x \right)} - 3\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} - 6 \left(\tan^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)} \tan{\left(x \right)} - 3 \left(\tan^{2}{\left(x \right)} + 1\right) \cos{\left(x \right)} + \sin{\left(x \right)} \tan{\left(x \right)} + 2 \sinh{\left(x \right)} - \frac{e^{x}}{\sqrt{x}} + \frac{3 e^{x}}{2 x^{\frac{3}{2}}} - \frac{9 e^{x}}{4 x^{\frac{5}{2}}} + \frac{15 e^{x}}{8 x^{\frac{7}{2}}}
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Gráfico
Derivada de y=2ch(x)-(3-cos(x))tg(x)-((e^x)/√x+1)
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