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Sketch the graph of a function which is increasing to the left of $x=1$ and decreasing to its right.

ANSWER IS GRAPH

Calculus 1 / AB

Chapter 3

Applications of the Derivative

Section 1

Extrema of a Function

Derivatives

Campbell University

Baylor 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.

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Sketch the graph of a func…

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Sketch the graph of the fu…

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02:57

Sketch the graph of an inc…

Yeah. This exercise asks us to draw a function that is increasing to the left of technicals one and decreasing to its right. There are many choices. But here I draw the function F. X. Because Miners paralysis is X -1 squared. This black curve is the graph of this function. You can see that It is increasing to the left of XC Coast one and decrease into its right. And also this right lie is the derivative of this function. It has have primary. Because my nurse to arts past two, You can see that it is positive to the left of the x equals one and negative to its rights. Yeah.

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