Here is a somewhat similar problem worked out for you, but it is a quotient rather than the product you were given:
dx |
ex + e-x | = ? |
Since the given function is a quotient, we must use the quotient rule:
dx |
|
= | (ex+e-x)2 |
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= |
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(since the derivative of e-x is -e-x) | ||
= |
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(expanding the terms) | ||
= |
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(because the other terms cancel) | ||
= |
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(because exe-x = 1) |
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