Use the definition of the derivative to find the derivative of: f(t) = –14 – 9t.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Use the definition of the derivative to find the derivative of: f(t) = -14 – 9t.
Part 1: State the definition of the derivative
f'(t) = lim
h→0
Part 2: Using the function given, find the numerator and denominator of the
limit given in Part 1
Part 3: Using Part 2, find the derivative by calculating the limit as h approaches
Transcribed Image Text:Use the definition of the derivative to find the derivative of: f(t) = -14 – 9t. Part 1: State the definition of the derivative f'(t) = lim h→0 Part 2: Using the function given, find the numerator and denominator of the limit given in Part 1 Part 3: Using Part 2, find the derivative by calculating the limit as h approaches
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