 Hello and welcome to the session. My name is Asha and I am going to help you with the following question that says, find the derivative of the following functions. It is to be understood that A, B, C, D, P, Q, R and S are fixed non-zero constants and M and N are integers. So let's start with the solution and let us denote the given function by fx. So fx is equal to 1 upon Ax square plus Bx plus C. Now we have to find the derivative of fx that is f dash x. Let us denote the numerator of this function by u and denominator by v. That is we have to find the derivative of u upon v with respect to x and by the quotient rule of derivative. This is equal to derivative of u into v minus u into derivative of v upon v square. Now let us put the value of u and v to get the derivative of the given function. So we have dx of u that is 1 into v which is Ax square plus Bx plus C minus u into derivative of v. So u is 1 into derivative of v which is Ax square plus Bx plus C and in the denominator we have v square that is Ax square plus Bx plus C whole square and this is further equal to derivative of a constant with respect to Ax is 0 into Ax square plus Bx plus C minus 1 into derivative of Ax square plus Ax plus C with respect to x and derivative of Ax square is 2 Ax plus derivative of Bx is B and derivative of C is 0. So there is derivative of a constant with respect to x is 0 and the denominator we have Ax square plus Bx plus C whole square. Now 0 in multiplying with Ax square plus Bx plus C is equal to 0. So we have minus 2 Ax plus B upon Ax square plus Bx plus C whole square. Thus when differentiating the given function we get minus 2 Ax plus B upon Ax square plus Bx plus C whole square. This completes the session. Bye for now.