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Tamil Nadu Board of Secondary EducationHSC Commerce Class 11

If y = 2 + log x, then show that xy2 + y1 = 0. - Business Mathematics and Statistics

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Question

If y = 2 + log x, then show that xy2 + y1 = 0.

Sum

Solution

y = 2 + log x

`y_1 = 0 +1/x`

i.e., `y_1 = 1/x`

`therefore y_2 = - 1/x^2`

Now `xy_2 + y_1 = x(- 1/x^2) + 1/x = (-1)/x + 1/x = 0`

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Differentiation Techniques
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Chapter 5: Differential Calculus - Exercise 5.9 [Page 123]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 11 TN Board
Chapter 5 Differential Calculus
Exercise 5.9 | Q 3 | Page 123
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