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Math Help - differentiation application

  1. #1
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    differentiation application

    Let f(x)=|sinx-1/2|. The maximum value attained by f is?

    i don't know how to solve this, please help!
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  2. #2
    o_O
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    I don't know why you would need differentiation to help you solve this one but:

    -1 \leq \sin x \leq 1 \quad \mbox{Range of sin(x)}
    -\frac{3}{2} \leq \sin x - \frac{1}{2} \leq \frac{1}{2} \quad \quad \mbox {Substract all sides by }  \frac{1}{2}

    \left| \sin x - \frac{1}{2} \right| \leq \frac{3}{2} \quad \quad \mbox {Voila}
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