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 = 2x – 1 and v = x2 + 1
∴ 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 = 2x – 1
∴ …equation 2 {∵
}
As, v = x2 + 1
…equation 3 {∵
}
∴ from equation 1, we can find dy/dx
∴
⇒ {using equation 2 and 3}
⇒
⇒
Hence,
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