# Find dydxify=x2+1x2 - Mathematics and Statistics

Sum

Find dy/dx if y = x^2 + 1/x^2

#### Solution

y = x^2 + 1/x^2

∴ y = x2 + x–2
Differentiating w.r.t. x, we get

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

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

= 2x – 2x3

= 2x  – 2/x^3

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
Miscellaneous Exercise 9 | Q II. (1) | Page 123