Calculus
posted by Nicola .
Consider the function f(x)=3cosx−cos^(3)x for 0<x<2π.
For the following questions, write inf for ∞, inf for −∞, U for the union symbol, None if no answer exists, and separate by a comma if more than one answer exist.
a.) The xintercepts are .
b.) f′(x)= .
c.) f(x) is increasing on the interval(s) .
d.) f(x) is decreasing on the interval(s) .
e.) f(x) has a local maximum at x = .
f.) f(x) has a local minimum at x = .
g.) f′′(x)= .
h.) f(x) is concave up on the interval(s) .
i.) f(x) is concave down on the interval(s) .
j.) The xcoordinate of the points of inflection are
Respond to this Question
Similar Questions

Calculus Please Help
A continuous function f, defined for all x, has the following properties: 1. f is increasing 2. f is concave down 3. f(13)=3 4. f'(13)=1/4 Sketch a possible graph for f, and use it to answer the following questions about f. A. For … 
Calculus Please Help
A continuous function f, defined for all x, has the following properties: 1. f is increasing 2. f is concave down 3. f(13)=3 4. f'(13)=1/4 Sketch a possible graph for f, and use it to answer the following questions about f. A. For … 
Calculus (please help!!!)
Consider the parameterization of the unit circle given by x=cos(4t^2−t), y=sin(4t^2−t) for t in (−InF, INF). Describe in words and sketch how the circle is traced out, and use this to answer the following questions. … 
Calculus (pleas help!!!)
Consider the parameterization of the unit circle given by x=cos(4t^2−t), y=sin(4t^2−t) for t in (−InF, INF). Describe in words and sketch how the circle is traced out, and use this to answer the following questions. … 
Calculus
Consider the function f(x)=x−15x^1/3. For the following questions, write inf for ∞, inf for −∞, U for the union symbol, None if no answer exists, and separate by a comma if more than one answer exist. a.) The … 
Calculus
Consider the function f(x)=xlnx. For the following questions, write inf for ∞, inf for −∞, and None if no such answer exists. a.) The domain of this function is . b.) The xintercept is . c.) f′(x) = . d.) … 
Calculus
7) Consider the function f(x)=x2e4x. For this function there are three important intervals: (−∞,A], [A,B], and [B,∞) where A and B are the critical numbers. Find A and B For each of the following intervals, tell whether … 
calculus
F.(0) (10 puntos posibles) C1 What is limh→0cos(π6+h)−cos(π6)h? 
calculus
Evaluate these limits. (Enter answer as a decimal. Enter INF if the limit is +∞; INF if the limit is −∞; and DNE if the limit is neither ±∞ and does not exist.) (a) limx→04+x−−−−−√−2x= … 
calculus
You are given that f(x) =1+ax+ax2 f′(x) =−(x+2)ax3 f′′(x) =(2x+6)ax4 and the constant a>0. Write down all intervals on which the function is increasing, decreasing, concave up or concave down. (Enter using …