NO TE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for -0o. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) = -2 sin(x) cos(x) on (-7, 7) a) Find the critical numbers of f. -pi/4, pi/4 (Separate multiple answers by commas.) b) Determine the intervals on which f is increasing and decreasing. f is increasing on: (pi/4.pi) f is decreasing on: (-pi/4.pi/4) c) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. Relative maxima occur at = -pl/4 (Separate multiple answers by commas.) Relative minima occur at x pi/4 (Separate multiple answers by commas.)

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Q: cos( - x) csc x

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.