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Differentiate the following function w.r.t.x. : xx - Mathematics and Statistics

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Question

Differentiate the following function w.r.t.x. : `xsqrt x`

Sum

Solution

Let y = `xsqrt x`

∴ `y = x^(3/2)`

Differentiating w.r.t. x, we get

`dy/dx=d/dxx^(3/2)`

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

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

APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 9 Differentiation
Miscellaneous Exercise 9 | Q I. (4) | Page 123

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