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If y = axa(1+logx), then dddydx is ______ - Mathematics and Statistics

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Question

If y = `"a"^((1 + log"x"))`, then `("d"y)/("d"x)` is ______

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Solution

If y = `"a"^((1 + log"x"))`, then `("d"y)/("d"x)` is `bbunderline( "a"^((1 + log "x")) log "a"*1/x)`

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The Concept of Derivative - Derivatives of Logarithmic Functions
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Chapter 1.3: Differentiation - Q.2

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Substituting equations (ii) and (iii) in equation (i), we get

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