 Hello and welcome to the session. I am Deepika here. Let's discuss a question. Differentiate the following with respect to x. e raised to power x upon sine x. Now we know that derivative of u upon v that is u upon v dash is equal to derivative of u into v minus u into derivative of v that is v dash upon v square wherever v is not equal to 0. So this is known as quotient rule. This is our key idea for the above question. We will take the help of quotient rule to solve the above question. So let's start the solution. Let y's are given function that is y is equal to e raised to power x upon sine x. Here u is our e raised to power x and v is our sine x. So by quotient rule we have divided by dx is equal to u dash that is d by dx of e raised to power x into v that is into sine x minus u e raised to power x into v dash that is d by dx of sine x upon v square that is sine square x. Now we know that derivative of e raised to power x is e raised to power x and derivative of sine theta is cos theta. So we have d by dx is equal to e raised to power x into sine x minus e raised to power x into cos x upon sine square x. Now we know that sine x is equal to 0 when x is equal to n pi where n is any integer. Therefore this derivative is not defined when x is equal to n pi that is x should not be equal to n pi where n belongs to z. Derivative of the above function is e raised to power x into sine x minus cos x where x is not equal to n pi and belong to z. And this is our answer for the above question. I hope the solution is clear to you. Bye and take care.