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Use the function below to answer parts (a)-(d). f(x)=x² (a) Graph the function.. (b) Draw lines tangent to the graph at points whose x-coordinates are 0, and 1, 4. f(x+h)-f(x) h (c) Find f'(x) by determining lim h-0 (d) Find f'(0), f'(1), and f'(4).

Use the function below to answer parts (a)-(d). f(x)=x² (a) Graph the function.. (b) Draw lines tangent to the graph at points whose x-coordinates are 0, and 1, 4. f(x+h)-f(x) h (c) Find f'(x) by determining lim h-0 (d) Find f'(0), f'(1), and f'(4).

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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K Use the function below to answer parts (a)-(d). 1 f(x)= (a) Graph the function. (b) Draw lines tangent to the graph at points whose x-coordinates are 0, and 1, 4. f(x+h)-f(x) h (c) Find f'(x) by determining lim h-0 (d) Find f'(0), f'(1), and f'(4).
Transcribed Image Text:K Use the function below to answer parts (a)-(d). 1 f(x)= (a) Graph the function. (b) Draw lines tangent to the graph at points whose x-coordinates are 0, and 1, 4. f(x+h)-f(x) h (c) Find f'(x) by determining lim h-0 (d) Find f'(0), f'(1), and f'(4).
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