Derivatives of Hyperbolic Functions

Derivatives of Hyperbolic Functions - their derivatives is...

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Derivatives of Hyperbolic Functions The last set of functions that we’re going to be looking in this chapter at are the hyperbolic functions. In many physical situations combinations of and arise fairly often. Because of this these combinations are given names. There are the six hyperbolic functions and they are defined as follows. Here are the graphs of the three main hyperbolic functions.
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We also have the following facts about the hyperbolic functions. You’ll note that these are similar, but not quite the same, to some of the more common trig identities so be careful to not confuse the identities here with those of the regular trig functions. Because the hyperbolic functions are defined in terms of exponential functions finding
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Unformatted text preview: their derivatives is fairly simple provided youve already read through the next section. We havent however so well need the following formula that can be easily proved after weve covered the next section. With this formula well do the derivative for hyperbolic sine and leave the rest to you as an exercise. For the rest we can either use the definition of the hyperbolic function and/or the quotient rule. Here are all six derivatives. Here are a couple of quick derivatives using hyperbolic functions. Example 1 Differentiate each of the following functions. (a) (b) Solution (a) (b)...
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Derivatives of Hyperbolic Functions - their derivatives is...

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