Find the extreme values (absolute and local) of the function over its natural domain, and where they occur. $$y=x \ln x$$
Added by Mohamed R.
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$$y = x \ln x$$ $$y' = \frac{d}{dx}(x \ln x)$$ Using the product rule, we get: $$y' = \ln x + 1$$ Now, set the first derivative to zero and solve for x: $$\ln x + 1 = 0$$ $$\ln x = -1$$ $$x = e^{-1}$$ Show more…
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