y 6. g(x) g'(x) -5 10 -3 -4 -1 -3 4 -1- -2 3 1 -1 1 -2 -3 Graph of h Let f be the function defined by f (x) = cos (2x) + ešin x. Let be a differentiable function. The table above gives values of g and its derivative g' at selected values of x. Let h be the function whose graph, consisting of five line segments, is shown in the figure above. (a) Find the slope of the line tangent to the graph of f at x = n. (b) Let k be the function defined by k(x) = h(f(x)). Find k’(x). (c) Let m be the function defined by m(x) = g(-2x) • h(x). Find m'(2). (d) Is there a number c in the closed interval [–5, – 3] such that g´(c) = -4 ? Justify your answer. %3D
Unitary Method
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Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
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The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
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Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Hello! Could you please help me with part D. This is a no calculator question, so could you please show me how to do it without a calculator. Please show you work so I can follow. Thank you so much for your help!
![g(x)
g'(x)
-5
10
-3
-4
-1
-3
4
-1-
-2
3
1
х
-1
1
-2
-3
Graph of h
Let f be the function defined by f(x) = cos (2.x) + esn x
Let g be a differentiable function. The table above gives values of g and its derivative g' at selected values
of x.
Let h be the function whose graph, consisting of five line segments, is shown in the figure above.
(a) Find the slope of the line tangent to the graph of f at x = n.
(b) Let k be the function defined by k(x) = h(f(x)). Find k'(7).
(c) Let m be the function defined by m(x) = g(-2.x) • h(x). Find m' (2).
(d) Is there a number c in the closed interval [– 5, – 3] such that gʻ(c) = – 4 ? Justify your answer.
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