To differentiate the function with respect to , you can use the product rule. The product rule states that if you have a function of the form , the derivative is given by:

.

In this case, let and .

Now, we’ll find their derivatives:

(the derivative of is , and the derivative of a constant, , is ).

To find , you can use the chain rule. The chain rule states that if you have a composite function, such as , the derivative of with respect to is given by:

.

Let , so . Now, we can find :

.

(the derivative of is , and the derivative of a constant, , is ).

So, .

Now, apply the product rule:

.

Now, simplify this expression:

.

You can further simplify this expression if needed, but this is the derivative of with respect to :

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Let and

To differentiate the function with respect to , you can use the product rule. The product rule states that if you have a function of the form , the derivative is given by:

.

In this case, let and .

Now, we’ll find their derivatives:

(the derivative of is , and the derivative of a constant, , is ).

To find , you can use the chain rule. The chain rule states that if you have a composite function, such as , the derivative of with respect to is given by:

.

Let , so . Now, we can find :

.

(the derivative of is , and the derivative of a constant, , is ).

So, .

Now, apply the product rule:

.

Now, simplify this expression:

.

You can further simplify this expression if needed, but this is the derivative of with respect to :

.