Q. 74.3( 4 Votes )

Differentiate the following functions with respect to x:


Answer :

Let, y =


We have to find dy/dx


As we can observe that y is a fraction of two functions say u and v where,


u = 1 and v = ax2 + bx + c


y = u/v


As we know that to find the derivative of fraction of two function we apply quotient rule of differentiation.


By quotient rule, we have –


…equation 1


As, u = 1


…equation 2 { }


As, v = ax2 + bx + c


, so we get –


…equation 3


from equation 1, we can find dy/dx



{using equation 2 and 3}



Hence,



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