1. For the function f(x) = (x-1)e, (a) Find the critical numbers of f(x), if any (b) Find the open intervals on which the function is increasing or decreasing (c) Apply the First Derivative Test to identify all relative extrema 2. For the function f(x)= + cos x on the interval (0, 2t), 2 (a) Find the open intervals on which the function is increasing or decreasing (b) Apply the First Derivative Test to identify all relative extrema 3. For the function f(x) x+ 2 cos x on the interval [0, 2T], (a) Find the point of inflection (b) Find the open intervals on which the graph of the function is concave up or concave do 3 Sketch the graph of the function f(x) Please clearly Label any intercepts, relativ 4. x2-9

Question

number 1 

full works please 

1.
For the function f(x) = (x-1)e,
(a) Find the critical numbers of f(x), if any
(b) Find the open intervals on which the function is increasing or decreasing
(c) Apply the First Derivative Test to identify all relative extrema
2. For the function f(x)=
+ cos x on the interval (0, 2t),
2
(a) Find the open intervals on which the function is increasing or decreasing
(b) Apply the First Derivative Test to identify all relative extrema
3. For the function f(x) x+ 2 cos x on the interval [0, 2T],
(a) Find the point of inflection
(b) Find the open intervals on which the graph of the function is concave up or concave do
3
Sketch the graph of the function f(x)
Please clearly Label any intercepts, relativ
4.
x2-9
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Transcribed Image Text

1. For the function f(x) = (x-1)e, (a) Find the critical numbers of f(x), if any (b) Find the open intervals on which the function is increasing or decreasing (c) Apply the First Derivative Test to identify all relative extrema 2. For the function f(x)= + cos x on the interval (0, 2t), 2 (a) Find the open intervals on which the function is increasing or decreasing (b) Apply the First Derivative Test to identify all relative extrema 3. For the function f(x) x+ 2 cos x on the interval [0, 2T], (a) Find the point of inflection (b) Find the open intervals on which the graph of the function is concave up or concave do 3 Sketch the graph of the function f(x) Please clearly Label any intercepts, relativ 4. x2-9

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