Let f(x) f'(2) = ƒ(a + h) − f(a) Using the definition of derivative, f'(a) h enter the expression needed to find the derivative at x = 2. = 4x² + 13x - 5. lim 0-º = lim h→0 Don't use "f" notation here, use the actual given function for your response. Also, don't simplify too much. After evaluating this limit, we see that f'(2) = Finally, the equation of the tangent line to f(x) where x = 2 is

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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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Let f(x)
=
4x² + 13x - 5.
Using the definition of derivative, f'(a) = lim
h→0
f'(2)
enter the expression needed to find the derivative at x
= lim
0-૫
f(a + h) − f(a)
h
After evaluating this limit, we see that f'(2)
Don't use "f" notation here, use the actual given function for your response. Also, don't simplify too much.
=
= 2.
Finally, the equation of the tangent line to f(x) where x = 2 is
Transcribed Image Text:Let f(x) = 4x² + 13x - 5. Using the definition of derivative, f'(a) = lim h→0 f'(2) enter the expression needed to find the derivative at x = lim 0-૫ f(a + h) − f(a) h After evaluating this limit, we see that f'(2) Don't use "f" notation here, use the actual given function for your response. Also, don't simplify too much. = = 2. Finally, the equation of the tangent line to f(x) where x = 2 is
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