Find all relative extrema of the function ƒ (x)= x*- 16x+ 2, Use the Second Derivative Test where applicable.no relative max or minrelative max: (12, 6,910); no relative minrelative min: (24, 110,594); no relative maxrelative min: (12,-6,910); no relative maxrelative max: (24, 110,594); no relative min

Given information: fx=x4-16x3+2

Answered: Find all relative extrema of the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter1: Expressions And Functions

Section1.8: Interpreting Graphs Of Functions

Problem 1GP

See similar textbooks

Similar questions

If xis large, which function grows faster, f(x)=2x or g(x)=x2?
Can the average rate of change of a function be constant?
Describe why the horizontal line test is an effective way to determine whether a function is one-to-one?
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Find all relative extrema of the function f(x) = 4x+- 32x³ + 3. Use the Second Derivative Test where applicable. A relative max: (12, 27,651); no relative min B C D E relative min: (6,-1,725); no relative max no relative max or min relative min: (12, 27,651); no relative max relative max: (6, 1,725); no relative min
Find equations of the tangent line and the normal line to the graph of the function f(x) = 5x² + 8 at the point (-3,53). %3D (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equations in %3D terms of y and x.) tangent line equation: normal line equation: Select the image containing the graph of the function, the tangent line, and the normal line at the indicated point on the same set of coordinate axes.
Differentiate the function. f(x) = x In x -x
Select the statement that is false about the difference quotient. The difference quotient can be represented by f(x+h)−f(x)(x+h)−x or f(x+h)−f(x)h The difference quotient is a more general form of the average rate of change of a function on an interval h units long. The difference quotient describes the general behavior of a function over some interval h units long when the rate of change is not constant. As the value of h gets smaller and smaller, the value of the difference quotient becomes a better and better approximation of the average rate of change of a function f near (x,f(x)). As the value of h gets larger and larger, the value of the difference quotient becomes a better and better approximation of the average rate of change of a function f near (x,f(x)).
Quiz No 2 Q: Find the intervals or points on which f (x) = x³ - 6x² + 9x (i) Increasing, decreasing (ii) extrema ( max. & Min.) Using first derivative test (iii) exrema (max.& Min.) Using 2nd derivative test (iv) concavity
Consider the function that assigns to each number x the value 3x^2 (three x to the second power). a. Find the output assigned to each input listed in the table. Input (x) Output (3x^2) -2 -1 0 1 b. The average rate of change of the function using the rows for x = -2 and x = -1 from the table is ____________. c. The average rate of change of the function using rows for x = 0 and x = 1 from the table is ____________. d. Do you think the function is linear or nonlinear? Answer choices; 1. Linear 2. Nonlinear Explain your answer.
determine a function by being given the function’s first derivative and an initial condition for the function. Discuss how you would determine an original function if you were given the second derivative of the function as well initial conditions on the first derivative and original function.
A rectangle has its vertices on the x-axis, the y-axis, the origin, and the graph of y= 4-x2 in the first quadrant. Find the maximum possible area for such a rectangle. Justify your answer. Also provide let statements, detailed diagram, algebraic expression, state interval, derivative function and equations, absolute min/max values (x,y), end of the intervals test and final answer statement.

SEE MORE QUESTIONS

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS