Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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part C D
B
C
X +3"
2 Show that
(x - 2)(x + 3)
can be written in the form A +
X-2
where A, Band Care
constants to be found.
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- 3) Use the information below about the functions fand h to answer the following COS X Let h(x)= (a) Find h'(x) = = (b) Find h'(0) = .f(x) X -2 -1 0 1 2 f(x) 3 -9 5 3 -5 f'(x) -5 4 9 2 8 (c) Based on your answer for (b), determine if x = 0 is a critical number of h(x) or not. Explain why.arrow_forward= cos-. a State the domain of f(x). (Hint: Think about it rather than relying on algebra.) 17 Consider the function f(x) 1 b Recalling that Vx² : |x], show that f'(x) = |x|Vx? - 1 c Comment on f'(1) and f'(-1). d Use the expression for f'(x) in part b to write down separate expressions for f'(x) when x > 1 and when x 1 and for x < -1. f Find: i lim f(x) ii lim f(x) X- 00 X - 00 g Sketch the graph of y = f(x).arrow_forwardwrite the correct answer on the paper nice and understandablearrow_forward
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