Use the definition of the derviative to compute the derivative of f(x) = vx + 8 at the specific point x = 2. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). f(2 + h) – f(2) - f'(2) = lim = lim h→0 h→0 h Hint: use the conjugate trick. Part 2: The derivative function Part 3: The tangent line ||

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
Question
Use the definition of the derviative to compute the derivative of f(x) = vx + 8
at the specific point x =
2. Evaluate the limit by using algebra to simplify the
difference quotient (in first answer box) and then evaluating the limit (in the
second answer box).
f(2 + h) – f(2)
f'(2) = lim
= lim
h→0
h→0
h
Hint: use the conjugate trick.
Part 2: The derivative function
Part 3: The tangent line
||
Transcribed Image Text:Use the definition of the derviative to compute the derivative of f(x) = vx + 8 at the specific point x = 2. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). f(2 + h) – f(2) f'(2) = lim = lim h→0 h→0 h Hint: use the conjugate trick. Part 2: The derivative function Part 3: The tangent line ||
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