Let f(x) = x³ - 13x. Calculate the difference quotient f(3+h)-f(3) for h h = .1 h = .01 h = .01 h = -.1 If someone now told you that the derivative (slope of the tangent line to the graph) of f(x) at x = 3 was an integer, what would you expect it to be?

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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 16CR
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Calc 1
Let f(x) = x³ - 13x. Calculate the difference quotient
f(3+h)-f(3)
for
h
h = .1
h = .01
h = -.01
h = -.1
If someone now told you that the derivative (slope of the tangent line to the graph) of f(x) at x = 3 was an integer, what would you expect it to be?
#
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Transcribed Image Text:Let f(x) = x³ - 13x. Calculate the difference quotient f(3+h)-f(3) for h h = .1 h = .01 h = -.01 h = -.1 If someone now told you that the derivative (slope of the tangent line to the graph) of f(x) at x = 3 was an integer, what would you expect it to be? # ⠀ ⠀⠀
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,