The problem asks to find the critical numbers forg...

The problem asks to find the critical numbers forg(t)=[sqrt(t)]*(1-t).
So you have to find g'(t) for the critical numbers. Thefirst thing I did was g'(t)=sqrt(t)(-1)+(1/2(t)^-1/2)1-t because ofthe chain rule. Everyone else getsg'(t)=[(1-t)/(2sqrt(t)]*-1. How is it that I am wrong, andhow did they get that answer?

Answers ( 3 )

  1. batur tekelio?lu
    batur tekelio?lu
    On differentiating both sides with respect to t using productrule,we have
       
                        
    To find the critacal numbers we need to find t for whichg'(t)=0 or not defined
    Clearly g'(t) is not defined for t=0 and g'(t)=0 givest=1/3
    hence the critical numbers are t=0,1/3
  2. camille ennis
    camille ennis

    Ondifferentiating both sides with respect to t using product rule,wehave
       
                        
    To findthe critacal numbers we need to find t for which g'(t)=0 or notdefined
    Clearly g'(t)is not defined for t=0 and g'(t)=0 gives t=1/3
    hencethe critical numbers are t=0,1/3
  3. mason patel
    mason patel
    here but

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