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x*tg(x)+sin(x)+e^-1*cos(x)^2

Derivada de x*tg(x)+sin(x)+e^-1*cos(x)^2

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

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Solución

Ha introducido [src]
                       2   
                    cos (x)
x*tan(x) + sin(x) + -------
                       E   
$$\left(x \tan{\left(x \right)} + \sin{\left(x \right)}\right) + \frac{\cos^{2}{\left(x \right)}}{e}$$
x*tan(x) + sin(x) + cos(x)^2/E
Gráfica
Primera derivada [src]
  /       2   \             -1                         
x*\1 + tan (x)/ - 2*cos(x)*e  *sin(x) + cos(x) + tan(x)
$$x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{2 \sin{\left(x \right)} \cos{\left(x \right)}}{e} + \cos{\left(x \right)} + \tan{\left(x \right)}$$
Segunda derivada [src]
                  2           2     -1        2     -1       /       2   \       
2 - sin(x) + 2*tan (x) - 2*cos (x)*e   + 2*sin (x)*e   + 2*x*\1 + tan (x)/*tan(x)
$$2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \frac{2 \sin^{2}{\left(x \right)}}{e} - \sin{\left(x \right)} - \frac{2 \cos^{2}{\left(x \right)}}{e} + 2 \tan^{2}{\left(x \right)} + 2$$
Tercera derivada [src]
                           2                                                                           
              /       2   \      /       2   \                 2    /       2   \             -1       
-cos(x) + 2*x*\1 + tan (x)/  + 6*\1 + tan (x)/*tan(x) + 4*x*tan (x)*\1 + tan (x)/ + 8*cos(x)*e  *sin(x)
$$2 x \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \frac{8 \sin{\left(x \right)} \cos{\left(x \right)}}{e} - \cos{\left(x \right)}$$
Gráfico
Derivada de x*tg(x)+sin(x)+e^-1*cos(x)^2