27. Consider the function h(x) = 2x²e-x²a) 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-18f) Use the information you have gathered and sketch the curve.X

As per our guidelines, we are supposed to solve only 3 subparts. Kindly post other parts in the next…

Answered: 27. Consider the function h(x) = 2x²…

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?

See similar textbooks

Similar questions

What is the purpose of the Intermediate Value Theorem?
a) By graphing the function f(x)=(cos2x-cosx)/x2 and zooming in toward the point where the graphcrosses the -axis, estimate the value of lim x 0 f(x)
Use the definition of the derivative to evaluate lim In(2+h) - In(2)/h h approaches 0
find the limit and show the work lim x-> 0+
Suppose that, for a particular social networking company, the annual revenue from rich media advertisements, in millions of dollars, for the years 2007 through 2012 can be appoximated with the model R(x)=−x^4+11x^3−39x^2+45x, where xx is the number of years from the beginning of 2007. Find each limit. a. limx→2, R(x)=b. limx→3, R(x)=c. limx→4, R(x)=
Find the limits lim x→1- sin-1x
Find the limit if it exists: lim x->0 (sin(3x)) / (x(3x2 - 5))
(a)Find the equation of the tangent line to the curve f(x)=6x^2-5x+3 at the point where x=2. (Use the Basic Differentation Rules to find f'(x). That is, do not use the limit definition (b)Find the equation of the tangent line to thefunction: f(x) = 2x-1/x+2 when x=3
Use the limit definition to find the slope of the tangent line to the graph of f at the given point. f(x) = 12 − x2, (3, 3)
Estimate the limit numerically if it exists. (If you need to use or –, enter INFINITY or –INFINITY, respectively. If an answer does not exist, enter DNE.) lim x→3 x2 − 6 x − 3
Find the limits limx→0(ex + x)1/x
Use the limit definition to find the slope of the tangent line to the graph of f at the given point. ( Long way) f(x)=8-3x (2,2)

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

27. Consider the function h(x) = 2x² e-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. + +