10) Prove that the logarithmic function is increasing on ( 0 , \infty )

Answers (1)

Let logarithmic function is log x
f(x) = log x
f^{'}(x) = \frac{1}{x}
Now, for all values of x in ( 0 , \infty ) , f^{'}(x) > 0
Hence,  the logarithmic function f(x) = log x  is increasing in the interval  ( 0 , \infty )

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