Calculate the difference quotient for f(x) = 5 - x² at a = 6. (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x) = f(6) = x-6 Calculate f'(6) by finding lim f(x) = f(6) x-6 x-6 (Give an exact answer. Use symbolic notation and fractions where needed.) ƒ' (6) = Find an equation of the tangent line to f(x) at a = 6. (Express numbers in exact form. Use symbolic notation and fractions where needed. Let f(x) = y and express equation in terms of x and y.) equation:

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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Calculate the difference quotient for f(x) = 5 − x² at a = 6.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
-
f(x) = f(6)
x-6
f(x) = f(6)
—
X- - 6
(Give an exact answer. Use symbolic notation and fractions where needed.)
Calculate f'(6) by finding lim
x→6
ƒ' (6) =
Find an equation of the tangent line to ƒ(x) at a
=
6.
(Express numbers in exact form. Use symbolic notation and fractions where needed. Let f(x) = y and express equation in terms
of x and y.)
equation:
Transcribed Image Text:Calculate the difference quotient for f(x) = 5 − x² at a = 6. (Express numbers in exact form. Use symbolic notation and fractions where needed.) - f(x) = f(6) x-6 f(x) = f(6) — X- - 6 (Give an exact answer. Use symbolic notation and fractions where needed.) Calculate f'(6) by finding lim x→6 ƒ' (6) = Find an equation of the tangent line to ƒ(x) at a = 6. (Express numbers in exact form. Use symbolic notation and fractions where needed. Let f(x) = y and express equation in terms of x and y.) equation:
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