Question

find the derivative of x=tan(epower of -y)​

Answer 1

Answer:

$x = \tan( {e}^{ - y} ) \\ \frac{dx}{dy} = {sec}^{2} ( {e}^{ - y} ) \times {e}^{ - y} \times ( - 1) \\ \frac{dy}{dx} = - {cos}^{2} ( {e}^{ - y} ) \times {e}^{y} \\ ans.$