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).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.1: Antiderivatives

Problem 45E

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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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​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).