Posted by casey on Thursday, November 5, 2009 at 4:35pm.
Let g(s)=1/(s2)on the interval (0,1). Find the absolute maximum and absolute minimum of g(s) on this interval

calc  Reiny, Thursday, November 5, 2009 at 5:42pm
g'(s) = 1/(s2)^2
setting this equal to zero has no solution, so the function has no max/min
and since g'(s) is always negative, the function is decreasing for all values of s except s = 2
so let's look at the endpoints of the interval
g(0) = 1/2 =  1/2
g(1) = 1/1 = 1
so for the given interval, the max is 1/2 and the min is 1
Answer This Question
Related Questions
 Calculus (pleas help!!!)  Find the absolute maximum and absolute minimum ...
 Calculus (pleas help!!!)  Find the absolute maximum and absolute minimum values...
 Calculus  Find the absolute maximum and absolute minimum values of the function...
 calculus  2) Let g(s)= t(4−t)^1/2 on the interval [0,2]. Find the ...
 calc  let f(x)= x^2 +3x on the interval [1,3] . Find the absolute maximum and ...
 Calculus  Let f(t)=t\sqrt{4t} on the interval [1,3]. Find the absolute ...
 calculus  Let g(x)=(4x)/(x^2+1) on the interval [4,0]. Find the absolute ...
 calculus  Let g(s)=1/(s2) on the interval [0,1]. Find the absolute maximum and...
 calculus  Let f(x)=x^2+3x on the interval [1,3]. Find the absolute maximum and...
 Calculus  Find the absolute extrema of the function on the interval [2, 9]. (...
More Related Questions