27. Consider the function h(x) = 2x²e-x² a) In two or three steps, write the properly simplified (factored) first derivative. b) State the x values that make the first derivative equal to zero. Use this simple number line to show intervals of increase and decrease. d) State the exact y - coordinates for the values you found in b). e) Evaluate these limits: lim h(x) and lim_h(x) X→∞ X118 f) Use the information you have gathered and sketch the cur X
27. Consider the function h(x) = 2x²e-x² a) In two or three steps, write the properly simplified (factored) first derivative. b) State the x values that make the first derivative equal to zero. Use this simple number line to show intervals of increase and decrease. d) State the exact y - coordinates for the values you found in b). e) Evaluate these limits: lim h(x) and lim_h(x) X→∞ X118 f) Use the information you have gathered and sketch the cur X
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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