Q. 15

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 = √a + √x and v = √a – √x


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 = √a + √x


, so we get –


…equation 2


As, v = √a – √x


, so we get –


…equation 3


from equation 1, we can find dy/dx



using equation 2 and 3, we get –





Hence,



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