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The derivative of
is
.
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To find the derivative of
, we can apply the product rule. Let
and
. The product rule states that
.
- First, we find
. - Next, we calculate
. We can rewrite using logarithmic differentiation: -
. - Therefore,
.
-
Now, substituting these back into the product rule:
Factoring out
:
Thus, the final answer is: