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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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SOLVE d) e) f) only pls. Thank you!
![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.
c) 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→∞
X-18
f) Use the information you have gathered and sketch the curve.
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64e22453-08e9-4901-b6d4-29904b54e3b3%2F04c54238-1f69-418a-851b-c5049b942eb1%2Fcujhy38_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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.
c) 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→∞
X-18
f) Use the information you have gathered and sketch the curve.
X
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