anonymous
  • anonymous
Let f(t)=t(4-t)^(1/2) on the interval [-1,3] . Find the absolute maximum and absolute minimum of on this interval.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[f(t)=t\sqrt{4-t}\]?
bahrom7893
  • bahrom7893
take the derivative... set it equal to 0, also check the undefined part..
bahrom7893
  • bahrom7893
and the endpoints

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anonymous
  • anonymous
yes
anonymous
  • anonymous
\[f'(t)=\sqrt{4-t}-\frac{t}{2\sqrt{4-t}}\] \[f'(t)=\frac{2(4-t)-t}{2\sqrt{4-t}}\] \[f'(t)=\frac{8-3t}{2\sqrt{4-t}}\]
anonymous
  • anonymous
set numerator =0 and solve to find the critical point
anonymous
  • anonymous
ok thanks
anonymous
  • anonymous
thank you I really appreciate your help

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