1 Let f(0)= sin(0) + cos(0). √√3 Calculate the derivative. [Note: to get the to show up type theta, and the system will immediately convert the word to the symbol.] f'(0) = List the first interval after 0 where both endpoints of the interval are critical numbers of the function on which f is increasing? Increasing: List the first interval after 0 where both endpoints of the interval are critical numbers of the function on which f is decreasing? Decreasing:

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
Question
1
Let f(0) = sin(0) + -cos(0).
√3
Calculate the derivative. [Note: to get the to show up type theta, and the system will immediately convert
the word to the symbol.]
ƒ'(0) =
List the first interval after 0 where both endpoints of the interval are critical numbers of the function on
which f is increasing?
Increasing:
List the first interval after 0 where both endpoints of the interval are critical numbers of the function on
which f is decreasing?
Decreasing:
Transcribed Image Text:1 Let f(0) = sin(0) + -cos(0). √3 Calculate the derivative. [Note: to get the to show up type theta, and the system will immediately convert the word to the symbol.] ƒ'(0) = List the first interval after 0 where both endpoints of the interval are critical numbers of the function on which f is increasing? Increasing: List the first interval after 0 where both endpoints of the interval are critical numbers of the function on which f is decreasing? Decreasing:
Expert Solution
Step 1: Given

Consider the function 

f open parentheses theta close parentheses equals sin theta plus fraction numerator 1 over denominator square root of 3 end fraction cos theta

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