$\"\"$

The function is $\"\"$ .

Find $\"\"$ by implicit differentiation.

$\"\"$

Apply the derivative with respect to $\"\"$ .

$\"\"$

Use the derivative of exponential function property: $\"\"$

$\"\"$ .

Apply the product rule of derivative: $\"\"$

$\"\"$

$\"\"$

$\"\"$

$\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

$\"\"$ .