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y=ln(coshx)
The derivative of the function/ y=ln(coshx)

Derivative of y=ln(coshx)

Function f() - derivative -N order at the point
v

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The solution

You have entered [src] 
log(cosh(x))
$$\log{\left(\cosh{\left(x \right)} \right)}$$ 
d               
--(log(cosh(x)))
dx
$$\frac{d}{d x} \log{\left(\cosh{\left(x \right)} \right)}$$
Transform
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
sinh(x)
-------
cosh(x)
$$\frac{\sinh{\left(x \right)}}{\cosh{\left(x \right)}}$$
Simplify
The second derivative [src] 
        2   
    sinh (x)
1 - --------
        2   
    cosh (x)
$$- \frac{\sinh^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)}} + 1$$
Simplify
The third derivative [src] 
  /         2   \        
  |     sinh (x)|        
2*|-1 + --------|*sinh(x)
  |         2   |        
  \     cosh (x)/        
-------------------------
         cosh(x)
$$\frac{2 \left(\frac{\sinh^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)}} - 1\right) \sinh{\left(x \right)}}{\cosh{\left(x \right)}}$$
Simplify
The graph
Derivative of y=ln(coshx)
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