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Find d2ydx2, if y = ex

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प्रश्न

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

योग
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उत्तर

y = `"e"^"x"`

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

`"dy"/"dx" = "e"^"x"`

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

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

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अध्याय 3: Differentiation - EXERCISE 3.6 [पृष्ठ ९८]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 3 Differentiation
EXERCISE 3.6 | Q 2. 1) | पृष्ठ ९८

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