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Differentiate the following with respect to x. (x+1x)2 - Business Mathematics and Statistics

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प्रश्न

Differentiate the following with respect to x.

`(sqrtx + 1/sqrtx)^2`

बेरीज

उत्तर

Let y = `(sqrtx + 1/sqrtx)^2`

`x + 1/x + 2 * sqrtx * 1/sqrtx`

y = `x + 1/x + 2`

`"dy"/"dx" = 1 - 1/x^2 + 0 = 1 - 1/x^2`

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Differentiation Techniques
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पाठ 5: Differential Calculus - Exercise 5.5 [पृष्ठ ११८]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 5 Differential Calculus
Exercise 5.5 | Q 1. (viii) | पृष्ठ ११८
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