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SCALCET$9$M

$4\mathrm{.}1\mathrm{.}061.$MI$.$SA$.$

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Tutorial Exercise

Find the absolute maximum and absolute minimum values of $f$ on the given interval.

$f(t)=14cos(t)+7sin(2t),[0,\frac{}{2}]$

Step $1$

To find the absolute maximum and minimum for $f(t)=14cos(t)+7sin(2t)$ on the interval $0,\frac{}{2},$ we must find the largest and smallest function values at the critical numbers and at the interval endpoints. First, we'll find $f^{\text{'}}(t).$

$f^{\text{'}}(t)=$

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