These review exercises are for test preparation. They can also serve as a practice test. Answers are at the back of the book Red bracketed section references indicate the part(s) of the chapter to restudy if your answer is incorrect Concept Reinforcement For each equation in column A, select the most appropriate graph in column B. [R.1, R.4, R.5] Column A Column B f ( x ) = x 2 − 1
These review exercises are for test preparation. They can also serve as a practice test. Answers are at the back of the book Red bracketed section references indicate the part(s) of the chapter to restudy if your answer is incorrect Concept Reinforcement For each equation in column A, select the most appropriate graph in column B. [R.1, R.4, R.5] Column A Column B f ( x ) = x 2 − 1
These review exercises are for test preparation. They can also serve as a practice test. Answers are at the back of the book Red bracketed section references indicate the part(s) of the chapter to restudy if your answer is incorrect
Concept Reinforcement
For each equation in column A, select the most appropriate graph in column B. [R.1, R.4, R.5]
Consider the function f(x) = x²-1.
(a) Find the instantaneous rate of change of f(x) at x=1 using the definition of the derivative.
Show all your steps clearly.
(b) Sketch the graph of f(x) around x = 1. Draw the secant line passing through the points on the
graph where x 1 and x->
1+h (for a small positive value of h, illustrate conceptually). Then,
draw the tangent line to the graph at x=1. Explain how the slope of the tangent line relates to the
value you found in part (a).
(c) In a few sentences, explain what the instantaneous rate of change of f(x) at x = 1 represents in
the context of the graph of f(x). How does the rate of change of this function vary at different
points?
1. The graph of ƒ is given. Use the graph to evaluate each of the following values. If a value does not exist,
state that fact.
и
(a) f'(-5)
(b) f'(-3)
(c) f'(0)
(d) f'(5)
2. Find an equation of the tangent line to the graph of y = g(x) at x = 5 if g(5) = −3 and g'(5)
=
4.
-
3. If an equation of the tangent line to the graph of y = f(x) at the point where x 2 is y = 4x — 5, find ƒ(2)
and f'(2).
Does the series converge or diverge
Chapter R Solutions
Calculus and Its Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Bittinger, Ellenbogen & Surgent, The Calculus and Its Applications Series)
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