Question

Find the absolute extrema of each function, if they exist, over the indicated interval. Also indicate the $x$ -value at which each extremum occurs. When no interval is specified, use the real numbers, $(-\infty, \infty)$. $$f(x)=x+\frac{3600}{x} ; \quad(0, \infty)$$

          Find the absolute extrema of each function, if they exist, over the indicated interval. Also indicate the $x$ -value at which each extremum occurs. When no interval is specified, use the real numbers, $(-\infty, \infty)$.
$$f(x)=x+\frac{3600}{x} ; \quad(0, \infty)$$

Added by Logan J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

07/18/2023

Step 1

However, since the interval is $(0,\infty)$, we only consider $x=60$ as a critical point. Show more…

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Find the absolute extrema of each function, if they exist, over the indicated interval. Also indicate the $x$ -value at which each extremum occurs. When no interval is specified, use the real numbers, $(-\infty, \infty)$. $$f(x)=x+\frac{3600}{x} ; \quad(0, \infty)$$