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Draw the graph of a function such that the maximum is also a relative maximum.

ANSWER IS DRAWING

Calculus 1 / AB

Chapter 3

Applications of the Derivative

Section 1

Extrema of a Function

Derivatives

Missouri State University

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

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.

00:30

Draw the graph of a functi…

01:05

Draw a graph of a continuo…

02:26

Sketch a graph of $f(x)=\f…

00:56

Sketch the graph of a func…

01:15

Explain the difference bet…

This exercise asks us to draw The growth of functions, such as the maximum is also relative maximum. You have many choices, but here I just use a quadratic function. The function f x equals minus x squared. You can see that the maximum 00 is also a relative maximum.

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