Question

find the derivative of logx​

Answer 1

Answer:

As the logarithmic function with base a (a>0, a≠1) and exponential function with the same base form a pair of mutually inverse functions, the derivative of the logarithmic function can also be found using the inverse function theorem. (logax)′=f′(x)=1φ′(y)=1(ay)′=1aylna=1alogaxlna=1xlna.

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Answer 2

$\frac{d(logx)}{dx} = \frac{1}{x}$