Mister Exam

Derivative of sinh(x)*cosh(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
sinh(x)*cosh(x)
sinh(x)cosh(x)\sinh{\left(x \right)} \cosh{\left(x \right)}
sinh(x)*cosh(x)
The graph
02468-8-6-4-2-1010-500000000500000000
The first derivative [src]
    2          2   
cosh (x) + sinh (x)
sinh2(x)+cosh2(x)\sinh^{2}{\left(x \right)} + \cosh^{2}{\left(x \right)}
The second derivative [src]
4*cosh(x)*sinh(x)
4sinh(x)cosh(x)4 \sinh{\left(x \right)} \cosh{\left(x \right)}
The third derivative [src]
  /    2          2   \
4*\cosh (x) + sinh (x)/
4(sinh2(x)+cosh2(x))4 \left(\sinh^{2}{\left(x \right)} + \cosh^{2}{\left(x \right)}\right)