Let f(x) = 4x² + 10x - 3. f(x) = f(a) Using the definition of derivative, f'(a) x-a enter the expression needed to find the derivative at x = 2. f'(2) = = lim x 2 = lim x→a 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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Let f(x) 4x²+ 10x - 3.
f'(2)
=
Using the definition of derivative, f'(a)
x - a
enter the expression needed to find the derivative at x = = 2.
=
lim
x→2
-
lim
x→a
f(x) = f(a)
-
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 ï =
2 is
Transcribed Image Text:Let f(x) 4x²+ 10x - 3. f'(2) = Using the definition of derivative, f'(a) x - a enter the expression needed to find the derivative at x = = 2. = lim x→2 - lim x→a f(x) = f(a) - 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 ï = 2 is
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