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Find d2ydx2, if y = log (x). - Mathematics and Statistics

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प्रश्न

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

योग

उत्तर

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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अध्याय 3: Differentiation - MISCELLANEOUS EXERCISE - 3 [पृष्ठ १०१]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 3 Differentiation
MISCELLANEOUS EXERCISE - 3 | Q IV] 19) | पृष्ठ १०१

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