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Find d2ydx2, if y = log (x).

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Question

Find `("d"^2"y")/"dx"^2`, if y = log (x).

Sum
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Solution

y = log x

Differentiating both sides w.r.t.x, we get

`"dy"/"dx" = 1/"x"`

Again, differentiating both sides w.r.t. x , we get

`("d"^2"y")/"dx"^2 = (- 1)/"x"^2`

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Chapter 3: Differentiation - MISCELLANEOUS EXERCISE - 3 [Page 101]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 3 Differentiation
MISCELLANEOUS EXERCISE - 3 | Q IV] 19) | Page 101

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