(a) Write down the limit definition of the derivative f' (x) for a function y = f(x). 1 (b) Use the limit definition of the derivative to evaluate f' (x) for f(x) 1 ax where a is the day of the month you were born (e.g. if you are born in July, then a = 7). (c) Find the slope of the tangent line at x = –1.

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...
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(a)
Write down the limit definition of the derivative f'(x) for a function y =
f(x).
1
(b) Use the limit definition of the derivative to evaluate f' (x) for f(x)
1
where a is the day of the month you were born (e.g. if you are born in July, then a =
7).
(c)
Find the slope of the tangent line at x = -1.
Transcribed Image Text:(a) Write down the limit definition of the derivative f'(x) for a function y = f(x). 1 (b) Use the limit definition of the derivative to evaluate f' (x) for f(x) 1 where a is the day of the month you were born (e.g. if you are born in July, then a = 7). (c) Find the slope of the tangent line at x = -1.
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