Mister Exam

Derivative of sinh^(2)x

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

The graph:

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Piecewise:

The solution

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