Answered: Using the curve sketching algorithm…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 48E

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Related questions

Question

This is the criteria:

Your function
Maximum/minimum points
Discontinuities/restrictions
Intercepts
Domain and Range
Intervals of Increase and Decrease
Points of Inflection
Second derivative test
Concavity
Extra points
Graph

Using the curve sketching algorithm developed in class, sketch the graph of
f(x)=5e' (x²-1)
,
· given f'(x)=5e' (x²+2x-1) ƒ"(x)=5e* (x²+4x+1)

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If f(x) = 3x² - x³, find f'(x), ƒ''(x), ƒ'''(x), and f(4)(x). f'(x) = f"(x) = f'(x) = f(4) (x) = Graph f, f', f", and f"" on a common screen. Are the graphs consistent with the geometric interpretations of these derivatives? The graphs ---Select--- consistent with the geometric interpretations of the derivatives because f' ---Select--- --Select--- ✓where f' has a slope of m = 0, and f"" is ---Select--- ✓function equal to the slope of f". ✓where f has a slope of m = 0, f"

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Using the curve sketching algorithm developed in class, sketch the graph of f(x)=5e' (x²-1) , · given f'(x)=5e' (x²+2x-1) ƒ"(x)=5e* (x²+4x+1)