 Hello and welcome to the session. I am Deepika here. Let's discuss a question, differentiate the following with respect to x under root of e raised to power root x where x is greater than 0. So let's start the solution. Here we will use a chain rule that y is equal to u where u is equal to e raised to power v and where v is equal to root x. Therefore, dy by du is equal to 1 over 2 into root u and du by dv is equal to e raised to power v and dv by dx is equal to 1 over 2 into root x. Therefore, dy by dx is equal to dy by du into du by dv into dv by dx. Now dy by du is 1 over 2 into root u. So this is equal to 1 over 2 into root u into du by dv is e raised to power v into dv by dx is 1 over 2 into root x where x is greater than 0. Now on substituting the value of u and v, we have dy by dx is equal to 1 over 2 into root u where u is e raised to power v and v is root x into e raised to power root x into 1 over 2 into root x where x is greater than 0. So dy by dx is equal to e raised to power root x over 4 into under root of x into e raised to power root x where x is greater than 0. Hence the derivative of the above function is e raised to power root x upon 4 into x into e raised to power root x where x is greater than 0 and this is our answer. I hope the solution is clear to you. Bye and take care.