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a) Graph the function f(x)= b) Draw tangent lines to the graph at the points whose x-coordinates are 0 and 1. c) Find f'(x) by determining lim f(x+h)-f(x) h h→0 d) Find f'(0) and f'(1). These slopes should match those of the lines from part (b).

a) Graph the function f(x)= b) Draw tangent lines to the graph at the points whose x-coordinates are 0 and 1. c) Find f'(x) by determining lim f(x+h)-f(x) h h→0 d) Find f'(0) and f'(1). These slopes should match those of the lines from part (b).

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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a) Graph the function f(x) = b) Draw tangent lines to the graph at the points whose x-coordinates are 0 and 1. c) Find f'(x) by determining lim f(x+h)-f(x) h h→0 d) Find f'(0) and f'(1). These slopes should match those of the lines from part (b). 2 -². a) Choose the correct graph of the function. O A. Q M O B. M O C. ✔ O D. M
Transcribed Image Text:a) Graph the function f(x) = b) Draw tangent lines to the graph at the points whose x-coordinates are 0 and 1. c) Find f'(x) by determining lim f(x+h)-f(x) h h→0 d) Find f'(0) and f'(1). These slopes should match those of the lines from part (b). 2 -². a) Choose the correct graph of the function. O A. Q M O B. M O C. ✔ O D. M
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