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).

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.
Chapter3: The Derivative
Section3.5: Graphical Differentiation
Problem 2E
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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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