4x – 7a? for x < 0 , 7x² + 4x for æ > 0 . f(x) According to the definition of the derivative, to compute f' (0), we need to compute the left-hand limit , which is lim and the right-hand limit lim , which is We conclude that f'(0) is Note: If a limit or derivative is undefined, enter 'undefined' as your answer.
4x – 7a? for x < 0 , 7x² + 4x for æ > 0 . f(x) According to the definition of the derivative, to compute f' (0), we need to compute the left-hand limit , which is lim and the right-hand limit lim , which is We conclude that f'(0) is Note: If a limit or derivative is undefined, enter 'undefined' as your answer.
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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Transcribed Image Text:f(x :
4x – 7x2 for x < 0 ,
7x2 + 4x for x > 0.
According to the definition of the derivative, to compute f' (0), we need to compute the left-hand limit
, which is
lim
and the right-hand limit
lim
, which is
We conclude that f' (0) is
Note: If a limit or derivative is undefined, enter 'undefined' as your answer.
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