If y= 2\sqrt{\sec \left ( e^{2x} \right )},  then find \frac{dy}{dx}\cdot

 

 

 

 
 
 
 
 

Answers (1)

y= 2\sqrt{\sec \left ( e^{2x} \right )}
\therefore \frac{dy}{dx}= 2\cdot \frac{1}{2\sqrt{\sec \left ( e^{2x} \right )}}\cdot \sec \left ( e^{2x} \right )\cdot \tan \left ( e^{2x} \right )\cdot e^{2x}\cdot 2= 2e^{2x}\tan \left ( e^{2x} \right )\sqrt{\sec \left ( e^{2x} \right )}
                                                                  

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