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Question
`d/(dx)x^(logx)` = ______.
Options
`x^(logx)((2logx)/x)`
`x^(logx) (2logx)`
`x^(logx)(logx/x)`
`x^(logx)(logx)`
MCQ
Fill in the Blanks
Solution
`d/(dx)x^(logx)` = `underlinebb(x^(logx)((2logx)/x))`.
Explanation:
y = `x^(logx)`
y' = `logx(x)^(logx-1) + (x^(logx) logx)/x`
= `(2logx x^(logx))/x`
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