Calculate the difference quotient for f(x) = 5-x at a = 7. (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x) – f(7) x- 7 f(x) – -f(7) Calculate f' (7) by finding lim X+7 x - 7 (Give an exact answer. Use symbolic notation and fractions where needed.) f' (7) = Find an equation of the tangent line to f(x) at a = 7. (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 (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.4: Operations On Functions
Problem 124E
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Calculate the difference quotient for f(x) = 5 - x at a = 7.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
f(x) – f(7)
x - 7
f(x) – f(7)
Calculate f'(7) by finding lim
x-7
x - 7
(Give an exact answer. Use symbolic notation and fractions where needed.)
f'(7) =
Find an equation of the tangent line to f(x) at a = 7.
(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 - x at a = 7. (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x) – f(7) x - 7 f(x) – f(7) Calculate f'(7) by finding lim x-7 x - 7 (Give an exact answer. Use symbolic notation and fractions where needed.) f'(7) = Find an equation of the tangent line to f(x) at a = 7. (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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