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(a) Draw the graph of a function which has two maxima and two relative maxima. (b) What must be true about the $y$ -values at the maxima?

A. ANSWER IS DRAWINGB. they are the same

Calculus 1 / AB

Chapter 3

Applications of the Derivative

Section 1

Extrema of a Function

Derivatives

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University of Michigan - Ann Arbor

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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.

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This exercise asks us to draw the graph of a function that has to maximum and two relative maximum, and this to relative maximum must be the two maximum, and the black curve is a function that adroll, and this is the queen of the function to maximum are Miners to zero and 20, and for part B. This to maximum must be the same. That is their function value must be the same. Otherwise one maximum is bigger than the other and the other cannot be a maximum.

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