हिंदी

Find dydxify=x2+1x2

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प्रश्न

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

योग
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उत्तर

`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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Rules of Differentiation (Without Proof)
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Differentiation - Miscellaneous Exercise 9 [पृष्ठ १२३]

APPEARS IN

बालभारती Mathematics and Statistics (Commerce) Part 1 [English] Standard 11 Maharashtra State Board
अध्याय 9 Differentiation
Miscellaneous Exercise 9 | Q II. (1) | पृष्ठ १२३

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