f(x+h) - f(x) a. Use the definition f'(x) = lim - to find the slope of the line tangent to the graph of fat x = 3. NOTE: You MUST show all of the work for this problem clearly on your paper, with correct limit notation used throughout. h h0 without correct work to support your answer. b. Determine an equation of the tangent line at P. f(x) = /3x + 16, x= 3 a. f'(x) =O (Simplify your answer. Type an exact answer, using radicals as needed.) b. y=O (Type an exact answer, using fractions or radicals as needed.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Question
f(x + h) – f(x)
a. Use the definition f'(x) = lim
to find the slope of the line tangent to the graph of f at x = 3. NOTE: You MUST show all of the work for this problem clearly on your paper, with correct limit notation used throughout. No credit
h
h→0
without correct work to support your answer.
b. Determine an equation of the tangent line at P.
f(x) = V3x + 16,
X = 3
.....
a. f'(x) =|
(Simplify your answer. Type an exact answer, using radicals as needed.)
b. y =
(Type an exact answer, using fractions or radicals as needed.)
Transcribed Image Text:f(x + h) – f(x) a. Use the definition f'(x) = lim to find the slope of the line tangent to the graph of f at x = 3. NOTE: You MUST show all of the work for this problem clearly on your paper, with correct limit notation used throughout. No credit h h→0 without correct work to support your answer. b. Determine an equation of the tangent line at P. f(x) = V3x + 16, X = 3 ..... a. f'(x) =| (Simplify your answer. Type an exact answer, using radicals as needed.) b. y = (Type an exact answer, using fractions or radicals as needed.)
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