# Differentiate the following function w.r.t.x : x2+1x - Mathematics and Statistics

Sum

Differentiate the following function w.r.t.x : (x^2 + 1)/x

#### Solution

Let y = (x^2 + 1)/x

Differentiating w.r.t. x, we get

dy/dx= d/dx((x^2 + 1)/x)

= (xd/dx(x^2 + 1) - (x^2 + 1)d/dx(x))/x^2

= (x(2x + 0) - (x^2 + 1)(1))/x^2

= (2x^2 - x^2 - 1)/x^2

dy/dx=(x^2 - 1)/x^2

Is there an error in this question or solution?

#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 9 Differentiation
Exercise 9.2 | Q I. (2) | Page 122