The definition of the slope of the tangent line to the graph of a functionf stems out from the slope of a secant line. What is the formula for finding the slope of a tangent line to the graph of a function f at the point (xo, f (xo))? Explain how you come up with the formula.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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1.The definition of the slope of the tangent line to the graph of a function ? stems out from the slope of a secant line. What is the formula for finding the slope of a tangent line to the graph of a function ? at the point (?0,?(?0))? Explain how you come up with the formula.

2.What number is associated with a line so that instead of looking for a limiting position, you would be looking for a limit of an algebraic expression? How is your answer related to the derivative of the function?

The definition of the slope of the tangent line to the graph of a function f stems
1. out from the slope of a secant line. What is the formula for finding the slope of
a tangent line to the graph of a function f at the point (xo, f (xo))? Explain how
you come up with the formula.
What number is associated with a line so that instead of looking for a limiting
2.
position, you would be looking for a limit of an algebraic expression? How is
your answer related to the derivative of the function?
Transcribed Image Text:The definition of the slope of the tangent line to the graph of a function f stems 1. out from the slope of a secant line. What is the formula for finding the slope of a tangent line to the graph of a function f at the point (xo, f (xo))? Explain how you come up with the formula. What number is associated with a line so that instead of looking for a limiting 2. position, you would be looking for a limit of an algebraic expression? How is your answer related to the derivative of the function?
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