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Differentiate the followingfunctions.w.r.t.x. : 1x

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Question

Differentiate the followingfunctions.w.r.t.x.: `1/sqrtx`

Sum
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Solution

Let y =`1/sqrtx`

∴ `y =x^((-1)/2)`

Differentiating w.r.t. x, we get

`dy/dx=(-1)/2x^((-3)/2)`

= `(-1)/(2x^(3/2))`

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Rules of Differentiation (Without Proof)
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Chapter 9: Differentiation - Miscellaneous Exercise 9 [Page 123]

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Balbharati Mathematics and Statistics (Commerce) Part 1 [English] Standard 11 Maharashtra State Board
Chapter 9 Differentiation
Miscellaneous Exercise 9 | Q I. (5) | Page 123

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