Differentiate wrt x
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Let
and
To differentiate the function
with respect to
, you can use the product rule, which states that the derivative of a product of two functions is given by:
where
and
are functions of
, and
and
are their respective derivatives with respect to
.
In this case, let
and
.
Now, let’s find their derivatives:
Now, apply the product rule:
Now, simplify this expression:
Combine like terms:
So, the derivative of
with respect to
is: