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Derivada de la función/ (x^3)/ y'=x^2/ y'=x^2sh(x^3)

Derivada de y'=x^2sh(x^3)

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

Gráfico:

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Solución

Ha introducido [src] 
 2     / 3\
x *sinh\x /
x2sinh⁡(x3)x^{2} \sinh{\left(x^{3} \right)} 
x^2*sinh(x^3)
Primera derivada [src] 
        / 3\      4     / 3\
2*x*sinh\x / + 3*x *cosh\x /
3x4cosh⁡(x3)+2xsinh⁡(x3)3 x^{4} \cosh{\left(x^{3} \right)} + 2 x \sinh{\left(x^{3} \right)}
Simplificar
Segunda derivada [src] 
      / 3\      3 /      / 3\      3     / 3\\       3     / 3\
2*sinh\x / + 3*x *\2*cosh\x / + 3*x *sinh\x // + 12*x *cosh\x /
3x3(3x3sinh⁡(x3)+2cosh⁡(x3))+12x3cosh⁡(x3)+2sinh⁡(x3)3 x^{3} \left(3 x^{3} \sinh{\left(x^{3} \right)} + 2 \cosh{\left(x^{3} \right)}\right) + 12 x^{3} \cosh{\left(x^{3} \right)} + 2 \sinh{\left(x^{3} \right)}
Simplificar
Tercera derivada [src] 
   2 /       / 3\      6     / 3\       3     / 3\\
3*x *\20*cosh\x / + 9*x *cosh\x / + 36*x *sinh\x //
3x2(9x6cosh⁡(x3)+36x3sinh⁡(x3)+20cosh⁡(x3))3 x^{2} \left(9 x^{6} \cosh{\left(x^{3} \right)} + 36 x^{3} \sinh{\left(x^{3} \right)} + 20 \cosh{\left(x^{3} \right)}\right)
Simplificar
3-я производная [src] 
   2 /       / 3\      6     / 3\       3     / 3\\
3*x *\20*cosh\x / + 9*x *cosh\x / + 36*x *sinh\x //
3x2(9x6cosh⁡(x3)+36x3sinh⁡(x3)+20cosh⁡(x3))3 x^{2} \left(9 x^{6} \cosh{\left(x^{3} \right)} + 36 x^{3} \sinh{\left(x^{3} \right)} + 20 \cosh{\left(x^{3} \right)}\right)
Simplificar
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