Derivative of cosh x
How to find the derivative of the given function by using the derivative of cosh x: formula, 1 example, and its solution.
The derivative of cosh x, [cosh x]',
is sinh x.
y = cosh2 x means y = (cosh x)2.
This is a composite function of
y = (whole)2 and (whole) = cosh x.
2(cosh x)1 sinh x = 2 sinh x cosh x
So 2 sinh x cosh x is the derivative of cosh2 x.