Since the given function is a quotient, we must use the quotient rule:
![]() dx |
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| = | x) (d/dx)(ex e x) (ex e x)(d/dx)(ex+e x)![]() (ex+e x)2 |
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(since the derivative of e x is e x) |
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| = |
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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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