Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Sketch the graph of a continuous function decreasing on $-5<x<3$ and increasing on $3<x<7 .$ Indicate the point $m$ on your graph which is a relative minimum.

ANSWER IS GRAPH

Calculus 1 / AB

Chapter 3

Applications of the Derivative

Section 1

Extrema of a Function

Derivatives

Missouri State University

University of Nottingham

Boston College

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

30:01

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (the rate of change of the value of the function). If the derivative of a function at a chosen input value equals a constant value, the function is said to be a constant function. In this case the derivative itself is the constant of the function, and is called the constant of integration.

01:11

Sketch the graph of a cont…

01:02

01:54

Sketch a graph of the func…

02:01

Express the inequality as …

03:53

Graph the function. Estima…

01:52

Graph the piecewise-define…

01:05

Sketch the graph of the fu…

01:04

Graph the functions. Then …

This exercise us us to draw a continuous function that is decreasing on -5-3 and increasing 3-7. There are many choices. But here I just use the quadratic function. The function is F X equals x minus race squares. You can verify their this function satisfies all the conditions of the exercise. And since this function is Decreasing to the left of x equals three and increase into its rights, it's relative minimum is at X equals scrape The curve is a group of this function. The right now is a derivative of the function waitress have prime acts. He calls two X -6. The derivative is negative to the left of Mexico three and positive to its right. And it is because zero at X echoes rate. And that is also why Mexico's rate. Is that local or the relative minimal of this function.

View More Answers From This Book

Find Another Textbook

Numerade Educator

03:27

A manufacturer of small glass figurines discovers that it costs $1,800$ for …

01:40

A rancher has divided a plot of ground into an $L$ shaped region. The larger…

04:01

Determine the equation of the perpendicular bisector of the line joining the…

04:48

Two cars leave an intersection at the same time. One travels north at 40 mil…

02:11

Determine the extrema on the given interval.$$f(x)=x^{4}-6 x^{3}+12 x^{2…

04:26

Find $y^{\prime}$ if $y=\left(x^{2}-3\right)^{2}\left(x^{2}+2 x+8\right)^{8}…

09:53

Given $f(x, y)=8 x^{3} y^{2}$ determine (a) $f(3,2),$ (b) $f(2,5)$. If neith…

03:35

At a selling price of $50,$ a lamp company breaks even on total sales of $30…

03:04

(a) Find the $x$ -intercept(s); (b) Find the vertical asymptotes; (c) Find t…

03:26

Consider $f(x)=4 x^{2 / 3},$ suppose you do not have a calculator and want t…