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Find dydx if, y = log(ax2 + bx + c) - Mathematics and Statistics

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प्रश्न

Find `"dy"/"dx"` if, y = log(ax2 + bx + c) 

बेरीज
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उत्तर

y = log(ax2 + bx + c) 

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

`"dy"/"dx" = "d"/"dx"` [log(ax2 + bx + c)]

`= 1/("ax"^2 + "bx" + "c") * "d"/"dx" ("ax"^2 + "bx" + "c")`

`= 1/("ax"^2 + "bx" + "c") * ["a"("2x") + "b" + 0]`

∴ `"dy"/"dx" = ("2ax" + "b")/("ax"^2 + "bx" + "c")`

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पाठ 3: Differentiation - EXERCISE 3.1 [पृष्ठ ९१]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 3 Differentiation
EXERCISE 3.1 | Q 2. 3) | पृष्ठ ९१

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