Sr Examen

Otras calculadoras


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
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src]
                                       x     
                                      E      
2*cosh(x) - (3 - cos(x))*tan(x) + - ----- - 1
                                      ___    
                                    \/ 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
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                 
$$\left(\cos{\left(x \right)} - 3\right) \left(\tan^{2}{\left(x \right)} + 1\right) - \sin{\left(x \right)} \tan{\left(x \right)} + 2 \sinh{\left(x \right)} - \frac{e^{x}}{\sqrt{x}} + \frac{e^{x}}{2 x^{\frac{3}{2}}}$$
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                                          
$$2 \left(\cos{\left(x \right)} - 3\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - 2 \left(\tan^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)} - \cos{\left(x \right)} \tan{\left(x \right)} + 2 \cosh{\left(x \right)} - \frac{e^{x}}{\sqrt{x}} + \frac{e^{x}}{x^{\frac{3}{2}}} - \frac{3 e^{x}}{4 x^{\frac{5}{2}}}$$
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                                                                           
$$2 \left(\cos{\left(x \right)} - 3\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 \left(\cos{\left(x \right)} - 3\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} - 6 \left(\tan^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)} \tan{\left(x \right)} - 3 \left(\tan^{2}{\left(x \right)} + 1\right) \cos{\left(x \right)} + \sin{\left(x \right)} \tan{\left(x \right)} + 2 \sinh{\left(x \right)} - \frac{e^{x}}{\sqrt{x}} + \frac{3 e^{x}}{2 x^{\frac{3}{2}}} - \frac{9 e^{x}}{4 x^{\frac{5}{2}}} + \frac{15 e^{x}}{8 x^{\frac{7}{2}}}$$
Gráfico
Derivada de y=2ch(x)-(3-cos(x))tg(x)-((e^x)/√x+1)