 Hello and welcome to the session I am Deepika here. Let's discuss a question differentiate the following function with respect to x secant of tan of root x. So let's start the solution. Let y is equal to secant of tan of root x therefore dy by dx is equal to dy dx of secant of tan of root x. Here we will apply the chain rule. Now we know that derivative of secant theta is secant theta into tan theta. So this is equal to secant of tan of root x into tan of tan of root x into dy dx of tan root x. Now we know that derivative of tan theta is secant square theta. So we have dy by dx is equal to secant of tan of root x into tan of tan of root x into secant square root x into dy dx of root x. Hence dy by dx is equal to secant of tan of root x into tan of tan of root x into secant square root x. Now derivative of root x is 1 by 2 root x hence derivative of our given function is secant of tan root x into tan of tan root x into secant square root x upon 2 root x and this is the answer for the above question. I hope the solution is clear to you. Bye and take care.