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If y = (log x)2 the dydx = ______.

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Question

If y = (log x)2 the `dy/dx` = ______.

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Solution

If y = (log x)2 the `dy/dx` = `bbunderline((2  log  x) 1/x = (2  log  x)/x)`.

Explanation:

y = (log x)2

∴ `"dy"/("d"x) = 2log x."d"/("d"x)(log x)`

= `(2.logx)/x`

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