CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Tutorial Exercise
Determine where the function is concave upward and where it is concave downward. (Enter your answer using
interval notation. If an answer does not exist, enter DNE.)
f(x) =
3x4 - 36x3 + x – 4
Part 1 of 6
We use the ---Select---
Notice that the domain of f is
(Enter your answer using interval notation.)
First, find the first and second derivatives of f(x) = 3x – 36x3 + x – 4.
f'(x) =
f"(x) =
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Describe the behavior of a function when the magnitude of the independent variable x becomes increasingly large or x S {q?
\text { 20. } f(x)=|x-3|
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- Describe why the horizontal line test is an effective way to determine whether a function is one-to-one?arrow_forwardThe figure is the graph of f', the derivative of a function f. On what open interval(s) is the function of increasing? Select all that apply. 14 I1 13 par I2 □ (0, X₁) (x1, x2) (X2, X3) (x3, x4) O (X4, X5) I5 Iarrow_forward3. Consider a function involving the height over time of a ball thrown into the air. Which would be the independent variable? Which would be the dependent variable? How do you know this? Explanation:arrow_forward
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