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Differentiate (8^(x))/(x^(8))...

Differentiate `(8^(x))/(x^(8))`

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Let `y = (8^(x))/(x^(8)) rArr log y = log'(8^(x))/(x^(8))`.
`rArr (d)/(dy) log y. (dy)/(dx) = (d)/(dx) [log8^(x) - logx^(8)]`
`rArr 1/y.(dy)/(dx) = d/(dx)[x.log8-8logx]`
On differenting w.r.t. x, we get
`1/y. (dy)/(dx) = log8.1-8.(1)/(x)`
`rArr (1)/(y).(dy)/(dx) = log8-(8)/(x)`
`:. (dy)/(dx) = y(log8-(8)/(x)) = (8^(x))/(x^(8)) (log8 - (8)/(x))`
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