SOLUTION: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)=x^4/4 +x^3 +x^2

Algebra.Com
Question 1155972: Find the intervals on which f is increasing and the intervals on which it is decreasing.
f(x)=x^4/4 +x^3 +x^2

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


find first derivative:



If , then is on the interval:



or


or

is on the intervals:
(,) U (,)

and is decreasing on the interval:
(,) U (,)




RELATED QUESTIONS

Find the intervals on which f is increasing and the intervals on which it is decreasing. (answered by greenestamps,MathLover1,ikleyn)
find the intervals on which f(x)= 2x^3 - 3x^2 is increasing. find the intervals on... (answered by josgarithmetic)
find the intervals on which f(x)= 2x^3 - 3x^2 is increasing. find the intervals on... (answered by josgarithmetic)
For f(x) = (2x + 3)^2 , find intervals on which f is increasing and decreasing then, find (answered by CubeyThePenguin)
1)A function f is given. x^4-9x^2 (a) Use a graphing device to draw the graph of f.... (answered by ichudov)
Determine, approximately using a graph, the intervals on which the function f(x)=x^3 +... (answered by Nate)
Graph the function and identify intervals on which the function is​ increasing,... (answered by Alan3354)
If f(x)=sinx+cos2x,determine which sub-intervals of (0,2pi) f(x) is increasing on and... (answered by Edwin McCravy)
For which intervals is the following function increasing or decreasing?... (answered by stanbon)