Let f(x) = x³. (a) Estimate the values of f (0), f f '(2), f '(3), and f '(4) by using a graphing device to zoom in on the graph of f. (Round your answers to one decimal place.) f '(0) = (). =| f '(2) f '(3) = f'(4) (b) Use symmetry to deduce the values of f1), F'(-2), f '(-3), and f (-4) . (Round your answers to one decimal place.) r(글) - f'(-2) = f'(-3) = f'(-4) = (c) Use the values from parts (a) and (b) to graph f '. f '(x) f '(x) -4 -2 2 4 -4 -2 4 -2 f '(x) f '(x) 4 2 X -4 -2 4 -4 -2 2 4 -2 2 (d) Guess a formula for f (x). O f (x) = 3x + 2

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Let f(x) = x3.
(a) Estimate the values of f '(0), f
f '(2), f '(3), and f '(4) by using a graphing device to zoom in on the graph of f. (Round your answers to one decimal place.)
f '(0)
()
f '(2)
f '(3)
f '(4)
(b) Use symmetry to deduce the values of f
(), F'(-2), f '(-3), and f '(-4). (Round your answers to one decimal place.)
=
f'(-2) =
f'(-3) =
f'(-4) =|
(c) Use the values from parts (a) and (b) to graph f'.
f '(x)
f '(x)
4
2.
X
-2
2
4
-4
-2
2
4
f '(x)
f '(x)
4
4
2
2
-4
-2
4
-4
-2
2
4
-4
(d) Guess a formula for f '(x).
O f (x) = 3x + 2
O f (x) =
O f (x) = 3x
O F (x) = 3x2
Transcribed Image Text:Let f(x) = x3. (a) Estimate the values of f '(0), f f '(2), f '(3), and f '(4) by using a graphing device to zoom in on the graph of f. (Round your answers to one decimal place.) f '(0) () f '(2) f '(3) f '(4) (b) Use symmetry to deduce the values of f (), F'(-2), f '(-3), and f '(-4). (Round your answers to one decimal place.) = f'(-2) = f'(-3) = f'(-4) =| (c) Use the values from parts (a) and (b) to graph f'. f '(x) f '(x) 4 2. X -2 2 4 -4 -2 2 4 f '(x) f '(x) 4 4 2 2 -4 -2 4 -4 -2 2 4 -4 (d) Guess a formula for f '(x). O f (x) = 3x + 2 O f (x) = O f (x) = 3x O F (x) = 3x2
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