a) Graph the function f(x)=2x2−7x+5. b) Draw a tangent line to the graph at the point whose x-coordinate is 3. c) Find f′(x) by determining limh→0f(x+h)−f(x)h. d) Find f′(3). This slope should match that of the line you drew in part (b).
a) Graph the function f(x)=2x2−7x+5. b) Draw a tangent line to the graph at the point whose x-coordinate is 3. c) Find f′(x) by determining limh→0f(x+h)−f(x)h. d) Find f′(3). This slope should match that of the line you drew in part (b).
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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a) Graph the function f(x)=2x2−7x+5.
b) Draw a tangent line to the graph at the point whose x-coordinate is 3.
c) Find f′(x) by determining limh→0f(x+h)−f(x)h.
d) Find f′(3). This slope should match that of the line you drew in part (b).
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