Assignment Task:
Task:
Use the function below to answer parts (a)-(d). f(x) = x 1 2 2
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(b) Draw tangent lines to the graph at points whose x-coordinates are 0, and 1, 2.
(c) Find f′(x) by determining lim . h→0 f(x + h) − f(x) h (d) Find f′(0), f′(1), and f′(2).
(a) Choose the correct graph below.
(c) f′(x) = (d) f′(0) = (Simplify your answer.) f′(1) = (Simplify your answer.) f ′(2) = (Simplify your answer.)
2. a) Graph the function f(x) = x + 6x. Draw the tangent lines to the graph at the points whose x-coordinates are , , and . 2 − 1 0 1 b) Find f′(x) by determining lim . h→0 f(x + h) − f(x) h c) Find f′( − 1), f′(0), and f′(1). These slopes should match those of the lines in part (b).
a) Choose the correct graph below
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