 Hi and welcome to the session and Priyanka and let us discuss the following question. It says differentiate the following function with respect to x. Now the function which is given to us is in the form of fx by gx. So we need to know the quotient rule of differentiation in order to find out the derivative of fx over gx. Here the formula is gx multiplied by the derivative of fx minus fx multiplied by the derivative of gx the whole divided by gx the whole square. So the knowledge of this quotient rule is the key idea that we are going to use in order to proceed on with our solution. Here fx over gx the function that is is given to us as 7x plus 4 divided by 4x minus 7. Now we need to find the derivative of this expression. So we have dy dx of fx over gx is equal to gx that is 4x minus 7 derivative of 7x plus 4 minus 7x plus 4 that is fx multiplied by the derivative of gx that is 4x minus 7 divided by gx the whole square. Let us simplify it further. 4x minus 7 the derivative of 7x plus 4 will be 7 minus 7x plus 4 the derivative of 4x minus 7 is 4 divided by 4x minus 7 the whole square. Further on opening the brackets we have 28x minus 49 minus 28x minus 16 the whole divided by 4x minus 7 the whole square. Further a positive 2x will get cancelled out with a negative 20. 28x will get cancelled out with 28x and we are left with minus 65 over 4x minus 7 the whole square. And this brings the answer to the required question. So this completes the question that was given to us. I hope you enjoyed the session. Take care of the quotient rule. Bye for now.