Maharashtra State BoardHSC Commerce 11th
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Differentiate the following w. r. t. x. : 27x72+52x25 - Mathematics and Statistics

Sum

Differentiate the following w. r. t. x. : `2/7 x^(7/2) + 5/2 x^(2/5)`

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Solution

Let y =`2/7 x^(7/2) + 5/2 x^(2/5)`

Differentiating w.r.t. x, we get

`dy/dx = d/dx (2/7x^(7/2) + 5/2 x^(2/5))`

= `2/7d/dxx^(7/2) + 5/2 d/dxx^(2/5)`

= `2/7 xx7/2x^(7/2-1) + 5/2xx2/5 x^(2/5-1)`

= `x^(5/2) + x^((-3)/5)`

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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 9 Differentiation
Exercise 9.1 | Q II. (4) | Page 120
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