1² – 2r + 1 (4) Consider the function g(x) = x - 5 (a) Compute the derivative gʻ(r), then distribute and simplify the mumerator as much as possible (this will help with part b). You do not need to simplify the denominator. (b) Use the first derivative test to identify which critical numbers correspond to local max- imums and local minimums. Hint: Remember, critical numbers also occur where the derivative is undefined

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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Please provide steps for b, specifically how to find the local maximums and local minimums. 

1² – 2x +1
(4) Consider the function g(x) =
I – 5
(a) Compute the derivative g'(x), then distribute and simplify the numerator as much as
possible (this will help with part b). You do not need to simplify the denominator.
(b) Use the first derivative test to identify which critical numbers correspond to local max-
imums and local minimums. Hint: Remember, critical numbers also occur where the
derivative is undefined
Transcribed Image Text:1² – 2x +1 (4) Consider the function g(x) = I – 5 (a) Compute the derivative g'(x), then distribute and simplify the numerator as much as possible (this will help with part b). You do not need to simplify the denominator. (b) Use the first derivative test to identify which critical numbers correspond to local max- imums and local minimums. Hint: Remember, critical numbers also occur where the derivative is undefined
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