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

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

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

Gráfico:

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Solución

Ha introducido [src]
                     -x    / 2\
x*tan(x) + sin(x) + E  *cos\x /
$$\left(x \tan{\left(x \right)} + \sin{\left(x \right)}\right) + e^{- x} \cos{\left(x^{2} \right)}$$
x*tan(x) + sin(x) + E^(-x)*cos(x^2)
Gráfica
Primera derivada [src]
  /       2   \      / 2\  -x        -x    / 2\                  
x*\1 + tan (x)/ - cos\x /*e   - 2*x*e  *sin\x / + cos(x) + tan(x)
$$x \left(\tan^{2}{\left(x \right)} + 1\right) - 2 x e^{- x} \sin{\left(x^{2} \right)} + \cos{\left(x \right)} + \tan{\left(x \right)} - e^{- x} \cos{\left(x^{2} \right)}$$
Segunda derivada [src]
                  2         / 2\  -x      -x    / 2\      2    / 2\  -x       /       2   \               -x    / 2\
2 - sin(x) + 2*tan (x) + cos\x /*e   - 2*e  *sin\x / - 4*x *cos\x /*e   + 2*x*\1 + tan (x)/*tan(x) + 4*x*e  *sin\x /
$$- 4 x^{2} e^{- x} \cos{\left(x^{2} \right)} + 2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + 4 x e^{- x} \sin{\left(x^{2} \right)} - \sin{\left(x \right)} + 2 \tan^{2}{\left(x \right)} + 2 - 2 e^{- x} \sin{\left(x^{2} \right)} + e^{- x} \cos{\left(x^{2} \right)}$$
Tercera derivada [src]
                                         2                                                                                                                                                 
             / 2\  -x       /       2   \      /       2   \             -x    / 2\           / 2\  -x        -x    / 2\          2    /       2   \      3  -x    / 2\       2    / 2\  -x
-cos(x) - cos\x /*e   + 2*x*\1 + tan (x)/  + 6*\1 + tan (x)/*tan(x) + 6*e  *sin\x / - 12*x*cos\x /*e   - 6*x*e  *sin\x / + 4*x*tan (x)*\1 + tan (x)/ + 8*x *e  *sin\x / + 12*x *cos\x /*e  
$$8 x^{3} e^{- x} \sin{\left(x^{2} \right)} + 12 x^{2} e^{- x} \cos{\left(x^{2} \right)} + 2 x \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} - 6 x e^{- x} \sin{\left(x^{2} \right)} - 12 x e^{- x} \cos{\left(x^{2} \right)} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \cos{\left(x \right)} + 6 e^{- x} \sin{\left(x^{2} \right)} - e^{- x} \cos{\left(x^{2} \right)}$$
Gráfico
Derivada de x*tg(x)+sin(x)+(e^(-x)*cos(x^2))