Explanation Given information: The given statement “If g ( t ) = 2 t then g ' ( 1 ) ≈ ( 2 1.001 − 2 1 ) / ( 1.001 − 1 ) ”. Calculation: To find out g ' ( 1 ) we choose any small increment i.e. h = 0.001 . Now we know from the definition of derivative, g ' ( 1 ) = lim h → 0 g ( 1.001 ) − g ( 1 ) 1.001 − 1 ⇒ g ' ( 1 ) ≈ g ( 1

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 2, Problem 3SYU

To determine

To indicate:

Whether the statement is true or false.

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Applied Calculus, 6e WileyPLUS + Loose-leaf

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To indicate: Whether the statement is true or false.

Solution Summary: The author explains that if the statement is true or false, g'(1) = 2t.