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Find dydxd2ydx2, if y = elog xelog x

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Question

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

Sum
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Solution

y = `"e"^"log x"`

y = x

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

`d/dx` (y) = `d/dx` (x)

`"dy"/"dx" = 1`

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

`d/dx (dy/dx)` = `d/dx(1)`

`("d"^2"y")/"dx"^2 = 0`

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Chapter 3: Differentiation - EXERCISE 3.6 [Page 98]

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