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2. Show the tangent and the secant line, and see how the secant line approximates the tangent line when h is very small. What happens when h=0? why? The slope of secant: 1.23 3. How is the fraction f(c+h)-f(c) related to the formula for the slope of a line? Hint: It is the slope between h what two points? 1

2. Show the tangent and the secant line, and see how the secant line approximates the tangent line when h is very small. What happens when h=0? why? The slope of secant: 1.23 3. How is the fraction f(c+h)-f(c) related to the formula for the slope of a line? Hint: It is the slope between h what two points? 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The Derivative at a Point c = 2.5 h=0 at Show tangent line Show secant line Slope of secant: 1.23 4 -2 2 0 2 c+h 4 6 8 10
Transcribed Image Text:The Derivative at a Point c = 2.5 h=0 at Show tangent line Show secant line Slope of secant: 1.23 4 -2 2 0 2 c+h 4 6 8 10
2. Show the tangent and the secant line, and see how the secant line approximates the tangent line when h is very small. What happens when h=0? why? The slope of secant: 1.23 3. How is the fraction what two points? 1 f(c+h)-f(c) h related to the formula for the slope of a line? Hint: It is the slope between
Transcribed Image Text:2. Show the tangent and the secant line, and see how the secant line approximates the tangent line when h is very small. What happens when h=0? why? The slope of secant: 1.23 3. How is the fraction what two points? 1 f(c+h)-f(c) h related to the formula for the slope of a line? Hint: It is the slope between
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