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Find dydxify=x2+1x2 - Mathematics and Statistics

Sum

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

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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`

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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 9 Differentiation
Miscellaneous Exercise 9 | Q II. (1) | Page 123
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