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find `dy/dx` for `y=log[lnx]`
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High School Teacher
To take the derivative of y with respect to x, apply the rule `(log_b u)'= 1/(u lnb)*u'` .
Since the base of logarithm (log) is not written, it indicates that its base is 10.
Then, apply the rule `(lnu)'=1/u*u'` .
Hence, `dy/dx=1/(xln10lnx)` .
Posted by mjripalda on July 13, 2013 at 2:10 AM (Answer #1)
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