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Given cosh x = 1/2(e^x + e^-x) and sinh x = 1/2(e^x - e^-x), Use these definitions to show cosh2 x - sinh2 x = 1, Show that cosh x + sinh x = e^x and simplify cosh x - sinh x.
Mathematics
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4 stepsHere's how to solve question 5(a):
Find the derivative of with respect to .
Given .
Determine the initial value of and the small change in .
The initial value of is 2.
The change in , denoted as , is the difference between the new value and the initial value:Evaluate the derivative at the initial value of .
Substitute into the derivative:
Calculate the small change in .
The small change in , denoted as , is approximately given by .
The small change in is .
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