Calculate the difference quotient for f(x) = x + x¹ at a = 9. (Express numbers in exact form. Use symbolic notation and fractions where needed.) ƒ(9+h)-f(9) h Calculate f'(9) by finding the following limit. lim h→0 ƒ(9+h)-f(9) h (Give an exact answer. Use symbolic notation and fractions where needed.) f'(9) = Find an equation of the tangent line to f at a = 9. (Express numbers in exact form. Use symbolic notation and fractions where needed.) y =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Calculate the difference quotient for f(x) = x + x¯¹ at a = 9.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
f(9+h)-f(9)
h
Calculate f'(9) by finding the following limit.
lim
h→0
f(9+h)-f(9)
h
(Give an exact answer. Use symbolic notation and fractions where needed.)
ƒ' (9) =
Find an equation of the tangent line to f at a = 9.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
y =
Transcribed Image Text:Calculate the difference quotient for f(x) = x + x¯¹ at a = 9. (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(9+h)-f(9) h Calculate f'(9) by finding the following limit. lim h→0 f(9+h)-f(9) h (Give an exact answer. Use symbolic notation and fractions where needed.) ƒ' (9) = Find an equation of the tangent line to f at a = 9. (Express numbers in exact form. Use symbolic notation and fractions where needed.) y =
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