Linkderivativef=3x^2-1
This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA
Overview
Download & View Linkderivativef=3x^2-1 as PDF for free.
More details
- Words: 124
- Pages: 1
Communicating and Connecting What We Know About the Derivative of a Function
Equation
Graph
Given the function:
f(x) = 3x2 – 1 Use the definition of derivative to determine f’(x).
f’(x) =
Table x -3 -2
f(x)
Analysis f’(x) 1.
Determine the average rate of change (ARoC) of f(x) over the interval [0, 2].
-1 0 1
2. Graph f’(x) on the axes above. 3. Determine the slope of f(x) at x = 2.
2 3
4. Determine the equation of the tangent line of f(x) at x = 2.
4 5 6
5. Determine the equation of the normal line of f(x) @ x = 2.
7 8
6. At what points, if any, are the tangents to the graph of f(x) horizontal?
Equation
Graph
Given the function:
f(x) = 3x2 – 1 Use the definition of derivative to determine f’(x).
f’(x) =
Table x -3 -2
f(x)
Analysis f’(x) 1.
Determine the average rate of change (ARoC) of f(x) over the interval [0, 2].
-1 0 1
2. Graph f’(x) on the axes above. 3. Determine the slope of f(x) at x = 2.
2 3
4. Determine the equation of the tangent line of f(x) at x = 2.
4 5 6
5. Determine the equation of the normal line of f(x) @ x = 2.
7 8
6. At what points, if any, are the tangents to the graph of f(x) horizontal?
More Documents from "Carol H. APSI teacher"
2008 Relatedratesmatchlab
October 2019 7
Link Derivative G=3x+5over 5x 3
May 2020 3
Link Derivative Implicit
May 2020 1
Link Derivative F=x^4 8x^2+7
May 2020 5
Link Derivative X
May 2020 3