7. 4. 3+ 1+ + -1 Graph of f(x) Consider the function f(x)=2/x-3cosx on the interval 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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b. Based on the graph of f(x), will the slope of the normal line drawn to the graph of f at x=4 be positive or negative?

c. Sketch the graph of f'(x) on the interval 0<x<2π. Then determine the value(s) of x at which the graph of f(x) reaches a relative maximum or minimum. Justify your answers.

1+3x sin x
a. Show, algebraically, that f'(x) =
Make sure you show each step of your work.
Transcribed Image Text:1+3x sin x a. Show, algebraically, that f'(x) = Make sure you show each step of your work.
1+
+
+
Graph of f(x)
Consider the function f(x) = 2x -3cos x on the interval 0 <x<2n. The graph of f(x) is shown to the
right. Answer the following questions rounding all values of x to three decimal places.
4.
Transcribed Image Text:1+ + + Graph of f(x) Consider the function f(x) = 2x -3cos x on the interval 0 <x<2n. The graph of f(x) is shown to the right. Answer the following questions rounding all values of x to three decimal places. 4.
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