Question 14 Let f(x) = √7x. Using the definition of derivative at a point, f'(a) = lim enter the expression needed to find the derivative at x x→a = 2. f'(2) = lim x 2 After evaluating this limit, we see that f'(2) = 0/10 pts 100 99 Details f(x) = f(a) xa Finally, the equation of the tangent line to f(x) where x = 2 is

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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Question 15
The limit below represents the derivative of some function f(x) at some number a.
6 sin(4+ h) 6 sin(4)
h
lim
0-%
State the function and the number:
f(x) =
0/10 pts 100 99 Details
a =
Transcribed Image Text:Question 15 The limit below represents the derivative of some function f(x) at some number a. 6 sin(4+ h) 6 sin(4) h lim 0-% State the function and the number: f(x) = 0/10 pts 100 99 Details a =
Question 14
Let f(x) = √7x.
Using the definition of derivative at a point, f'(a) = lim
x→a
enter the expression needed to find the derivative at x =
: 2.
ƒ' (2) =
=
lim
x→2
After evaluating this limit, we see that f'(2)
=
0/10 pts 10099 Details
f(x) - f(a)
x - a
= 2 is
Finally, the equation of the tangent line to f(x) where x =
Transcribed Image Text:Question 14 Let f(x) = √7x. Using the definition of derivative at a point, f'(a) = lim x→a enter the expression needed to find the derivative at x = : 2. ƒ' (2) = = lim x→2 After evaluating this limit, we see that f'(2) = 0/10 pts 10099 Details f(x) - f(a) x - a = 2 is Finally, the equation of the tangent line to f(x) where x =
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