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

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प्रश्न

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

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उत्तर

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1.3: Differentiation - Q.2

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∴ y = u + v

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`("d"y)/("d"x) = square/("d"x) + "dv"/square`   .....(i)

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∴ `"du"/("d"x)` = u(1 + log x)

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`"dv"/("d"x") = 20^square*log(20)`     .....(iii)

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

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