Mister Exam
Other calculators
- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
- Curve tracing functions Step by Step
- Integral Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Derivative of:
-
Derivative of x^(1/2)
-
Derivative of x^(1/3)
-
Derivative of 1/sqrt(x)
-
Derivative of x*atan(x)
-
Identical expressions
- y=ln*(ch(x))
- y equally ln multiply by (ch(x))
- y=ln(ch(x))
- y=lnchx
-
Similar expressions
- ln(ch(x))/ln(cox(x))
- y=arctg(shx)+shxlnchx
- y=arctg^3(ln(chx)+(1/2ch^2*x))
- y=x*arctg(*chx)+(*chx)ln*chx
Derivative of y=ln*(ch(x))
The solution
You have entered
[src]
log(cosh(x))
$$\log{\left(\cosh{\left(x \right)} \right)}$$
d --(log(cosh(x))) dx
$$\frac{d}{d x} \log{\left(\cosh{\left(x \right)} \right)}$$
The first derivative
[src]
sinh(x) ------- cosh(x)
$$\frac{\sinh{\left(x \right)}}{\cosh{\left(x \right)}}$$
The second derivative
[src]
2
sinh (x)
1 - --------
2
cosh (x)
$$- \frac{\sinh^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)}} + 1$$