Unit One Hints

M141: Calculus with A&T		Spring 2014
	Homework Help Unit Two

Section 4.3

14.	(a) $\sin x + \cos x = 0 \Rightarrow \sin x = -\cos x \Rightarrow \tan x = -1 \Rightarrow x = \frac{3\pi}{4}, \frac{7\pi}{4}$. Follow a similar approach to find the other two critical points. (c) Be sure to include the endpoints as local extrema. Local max at $x = 0$, for example.
44.	This exercise has a result very similar to #43. One critical point that is both a local and global minimum.
50.	There are two critical points. Two local maximums, and one endpoint maximum. An absolute maximum that occurs at two locations.
58.	There are two critical points and two endpoints. Absolute extrema must exist because the function is continuous on a closed and bounded domain (Extreme Value Theorem).