Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Test Prep Workbook Update
5th Edition
ISBN: 9780328909148
Author: Prentice Hall
Publisher: Prentice Hall
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EXERCISE
Let f(x) = -2x - 9z2 +24x + 36.
A. Find the intervals on which f is increasing or decreasing.
Use the First Derivative Test to locate all local extrema for f.
C. Use the Second Derivative Test to locate all local extrema for f.
В.
D. Find the intervals on which f is concave upward or downward.
E. List all inflection points for f.
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LEGION
The three figures below show the graphs of a function f, its derivative f', and its second derivative
f". Identify which is which by labeling them either f, f', or f". Justify your answers.
1
2
(A)
(B)
(C)
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- Evaluate the second derivative of the function at the given point. Use a computer algebra system to verify your result. (0,33) f"(0) = f(x) = Need Help? 7 √x + 9 Read Itarrow_forwardDifferentiate and simplify. f(x)=Je* +In (x² +4) %3Darrow_forwardEach of the figures in Exercises 119 and 120 shows two graphs, the graph of a function y = f(x) together with the graph of its derivative f'(x). Which graph is which? How do you know? 119. 120. y 4 A A 2 (B) х х -1 B) -2 3. 2.arrow_forward
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