)Let - 3z2 + 5x f(z) = 3z- 2 for z <0, for z 0. According to the definition of the derivative, to compute f'(0), we need to compute the left-hand limit lim which is -5 and the right-hand limit lim which is We conclude that f'(0) is undefined Note: If a limit or derivative is undefined, enter 'undefined' as your answer.
)Let - 3z2 + 5x f(z) = 3z- 2 for z <0, for z 0. According to the definition of the derivative, to compute f'(0), we need to compute the left-hand limit lim which is -5 and the right-hand limit lim which is We conclude that f'(0) is undefined 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:Let
372
f(z) =
3z2
+5x
for z <0,
for z 0.
According to the definition of the derivative, to compute f'(0), we need to compute the left-hand limit
lim
which is
and the right-hand limit
lim
which is
We conclude that f'(0) is
undefined
Note: If a limit or derivative is undefined, enter 'undefined' as your answeT.
2,
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