Derivative of y=e^cosh3x

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 cosh(3*x)
e

e^{\cosh{\left(3 x \right)}}

d / cosh(3*x)\
--\e         /
dx

\frac{d}{d x} e^{\cosh{\left(3 x \right)}}

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The graph

Plot the graph f(x)

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The first derivative [src]

   cosh(3*x)          
3*e         *sinh(3*x)

3 e^{\cosh{\left(3 x \right)}} \sinh{\left(3 x \right)}

Simplify

The second derivative [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)}}

Simplify

The third derivative [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)}

Simplify

The graph