Sr Examen

Derivada de y=e^cosh3x

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

Ha introducido [src]
 cosh(3*x)
E         
$$e^{\cosh{\left(3 x \right)}}$$
E^cosh(3*x)
Primera derivada [src]
   cosh(3*x)          
3*e         *sinh(3*x)
$$3 e^{\cosh{\left(3 x \right)}} \sinh{\left(3 x \right)}$$
Segunda derivada [src]
  /    2                 \  cosh(3*x)
9*\sinh (3*x) + cosh(3*x)/*e         
$$9 \left(\sinh^{2}{\left(3 x \right)} + \cosh{\left(3 x \right)}\right) e^{\cosh{\left(3 x \right)}}$$
Tercera derivada [src]
   /        2                   \  cosh(3*x)          
27*\1 + sinh (3*x) + 3*cosh(3*x)/*e         *sinh(3*x)
$$27 \left(\sinh^{2}{\left(3 x \right)} + 3 \cosh{\left(3 x \right)} + 1\right) e^{\cosh{\left(3 x \right)}} \sinh{\left(3 x \right)}$$