1. Determine where f(c) is increasing. Find the local maximum and local minimum points: f(x) = 2.03 – 3.rº – 12.1 = 3. (10 Peints) f'(x) = 6x² – 6.0 – 12 = 6(x² – 3 – 2) = 6(x − 2)(x+1) >0 Increasing in (-00, - 1) U (2,-). Local Maximum: x = -1 Local Minimum: x = 2

word_media_image1.png

answers

watching

134

views

For unlimited access to Homework Help, a Homework+ subscription is required.

You have 0 free answers left.
Get unlimited access to 3.8 million step-by-step answers.

Get unlimited access

Already have an account? Log in

carsondayLv1

16 Feb 2023

Unlock all answers

Get 1 free homework help answer.

Already have an account? Log in

You have 0 free answers left.
Get unlimited access to 3.8 million step-by-step answers.

Get unlimited access

Already have an account? Log in

Keith LeannonLv2

24 Oct 2018

Already have an account? Log in

Related questions

4. (30 pts) EXPLANATION IS NOT REQUIRED, AND NO PARTIAL CREDIT WILL BE GIVEN. (I) The entire) graph of a function f is shown in the figure below. (a) Find the x-coordinates of all critical points of f (or write NONE). ANSWER : critical point (s) at x = (b) Find the x-coordinates of all local minima of f (or write NONE). ANSWER : local min (s) at x = (c) Find all values of x at which fattains its global minimum (or write NONE ANSWER : global min (s) at x = (d) Find the interval (or intervals) on which the derivative of fis increasing. ANSWER : derivative off is increasing on (II) The figure below shows the graphs of f, f', and f". Which curve is which? Fill in the blanks: A = -; B= 2; CD- 4. EXPLANATION IS NOT REQUIRED, AND NO PARTIAL CREDIT WILL BE GIVEN. (III) A function f' (derivative of f) is given f'(x) = (x - 2) e*. The following questions are about the function f. (a) Find all critical points of f (or write NONE). ANSWER : critical point (s) at x = (b) on what interval (or intervals) is f increasing ? ANSWER : f is increasing on (c) Find the point or points where f has a local maximum (or write NONE). ANSWER : local max at x = (d) Find the point or points where f has a local minimum. ANSWER: local min (s) at x = (e) Find f "(x), the second derivative of f. ANSWER : f''(x) = (f) Identify any inflection pionts. ANSWER : inflection point (s) at x = (g) Determine the intervals on which the function is concave up or concave down. ANSWER: fis CONCAVE UP on fis CONCAVE DOWN on

(i) If a function f is continuous for all x and if f has a local maximum at (-1,4) and a local minimum at (3,-2), which of the following statements must be true? (A) The graph of f has an inflection point somewhere between x = -1 and x = 3. (B) f'(-1) = 0. (C) The graph of f has a horizontal asymptote. (D) The graph of f has a horizontal tangent line at x = 3. (E) The graph of f intersects both axes. Answer:

2. Determine where f(x) is concave up: f(x) = x+ + 2r3 – 36.x2 + 4x + 5 (10 points) f'(x) = 4.x} + 6rº – 72x + 4 f"(x) = 12x² + 12. – 72 = 12(x² + - 6) = 12(x+3)(x - 2) > 0 Concave up in (- 00, -3) U (2,00)

Weekly leaderboard

Home

Homework Help 3,900,000

Mathematics 240,000

1. Determine where f(c) is increasing. Find the local maximum and local minimum points: f(x) = 2.03 – 3.rº – 12.1 = 3. (10 Peints) f'(x) = 6x² – 6.0 – 12 = 6(x² – 3 – 2) = 6(x − 2)(x+1) >0 Increasing in (-00, - 1) U (2,-). Local Maximum: x = -1 Local Minimum: x = 2

Unlock all answers

Related questions

Related Documents

MATH 1131Q Study Guide - Quiz Guide: Maxima And Minima

MATH116 Lecture Notes - Lecture 4: Asymptote, Eaves, Cartesian Coordinate System

MATH 1ZA3 Study Guide - Midterm Guide: Mean Value Theorem, Maxima And Minima, Minimax

Weekly leaderboard