Question

1. Find the intervals on which f is increasing and decreasing, and use the First Derivative Test to determine the relative extrema of f, where f(x) = (x^2 + 3) / (x - 1) Remember that you will also need to consider the behaviour of f on either side of the vertical asymptote. 2. Consider the function f(x) = cos^2 x - 2 sin x, 0 <= x <= 2pi. Find where f is increasing or decreasing and use the first derivative test to identify any relative extrema. 3. In each part, use the graph of y = f(x) below to find the requested information. (a) Identify the intervals on which f is increasing. (b) Identify the intervals on which f is decreasing. (c) Estimate the the open intervals on which f is concave up. (d) Estimate the open intervals on which f is concave down. (e) Estimate the values of x at which f has an inflection point.

          1. Find the intervals on which f is increasing and decreasing, and use the First Derivative Test to determine
the relative extrema of f, where
f(x) = (x^2 + 3) / (x - 1)
Remember that you will also need to consider the behaviour of f on either side of the vertical asymptote.
2. Consider the function f(x) = cos^2 x - 2 sin x, 0 <= x <= 2pi. Find where f is increasing or decreasing
and use the first derivative test to identify any relative extrema.
3. In each part, use the graph of y = f(x) below to find the requested information.
(a) Identify the intervals on which f is increasing.
(b) Identify the intervals on which f is decreasing.
(c) Estimate the the open intervals on which f is concave up.
(d) Estimate the open intervals on which f is concave down.
(e) Estimate the values of x at which f has an inflection point.

1. Find the intervals on which f is increasing and decreasing, and use the First Derivative Test to determine
the relative extrema of f, where
f(x) = (x^2 + 3) / (x - 1)
Remember that you will also need to consider the behaviour of f on either side of the vertical asymptote.
2. Consider the function f(x) = cos^2 x - 2 sin x, 0 <= x <= 2pi. Find where f is increasing or decreasing
and use the first derivative test to identify any relative extrema.
3. In each part, use the graph of y = f(x) below to find the requested information.
(a) Identify the intervals on which f is increasing.
(b) Identify the intervals on which f is decreasing.
(c) Estimate the the open intervals on which f is concave up.
(d) Estimate the open intervals on which f is concave down.
(e) Estimate the values of x at which f has an inflection point.

Added by Anna S.

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