Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Find the absolute maximum and minimum values of each function on the given interval. Then graph the function. Identify the points on the graph where the absolute extrema occur, and include their coordinates.$$F(x)=-\frac{1}{x^{2}}, \quad 0.5 \leq x \leq 2$$

Absolute maximum: -0.25 absolute minimum: -4

Calculus 1 / AB

Chapter 4

Applications of Derivatives

Section 1

Extreme Values of Functions on Closed Intervals

Derivatives

Differentiation

Applications of the Derivative

Campbell University

Oregon State University

Harvey Mudd College

University of Nottingham

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

02:03

Find the absolute maximum …

01:50

02:05

02:10

02:32

01:13

02:06

02:09

02:52

a. Find the absolute maxim…

for this question were given effort. Faxes equals and I did one over X scored on just 10.5 was lost Earnings X, which is lost or equal to two and were asked to find absolute extreme values. And so these air absolute maximums in the absolute minimum. So several flights. We can rewrite this as negative. Extend negative, too, which makes it easier for a Caesar parable. So then we have primer backs is equal to it. Let's see if we can multiply this by negative to to get this to be colisee two x two Negative one dish is equal to two X, and so in a two over, accessible to zero and then one x equal to what was most by both sides but X just get to 00 So there's just no critical numbers. And so gun based on this information me know. OK, so we have to overtax. So we're going to say there's no critical numbers, so we can just have while we have fo 0.5, we should big f. So he says he's there, silent soon at those absent maximums minimums. So obey absorb what 50 to negative 1/0 500.4 squared, which is equal to mate a four into the next we have off of to What does Eagleton into 1/2 Squared is equal to number 1/4. So when you say they're absolute, you know, occurs out there before being a absolute maximum must rewrite this as negative 0.250 after a maximum prison ended 0.25 So you next We need to grasp this. So we have I wonder, if I were X squared on the interval. No one wants that we have 2.5. Choose this English Extra sister equals two and so we can see the absolute minimum occurs. It's negative. Four. House A maximum occurs at negative 0.25

View More Answers From This Book

Find Another Textbook

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Find the absolute maximum and minimum values of each function on the given i…

a. Find the absolute maximum and minimum values of each functionon the g…

01:44

Find the derivative of $y$ with respect to $x, t,$ or $\theta$ as appropriat…

03:02

02:53

Show that the functions in Exercises have exactly one zero in the given inte…

01:41

Each function $f(x)$ changes value when $x$ changes from $x_{0}$ to $x_{0}+d…

02:41

01:00

Write a differential formula that estimates the given change in volume or su…

02:19

a. Find the open intervals on which the function is increasing and those on …

02:33

Use logarithmic differentiation to find the derivative of $y$ with respect t…

01:14

Modify the definition to cover the following cases.a. $\lim _{x \rightar…

01:56

Use formal definitions to prove the limit statements.$$\lim _{x \rightar…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.