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Thread: Monotonicit problem Help please

  1. #1
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    Monotonicit problem Help please

    So I thought I understood how to do these problems until I got to this one. Could someone explain it to me please.

    11) Find the points and state whether it is increasing or decreasing. sint 0 less than or equal to t less than or equal to 2pi
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  2. #2
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    Re: Monotonicit problem Help please

    Hey psilver1.

    Can you show the full problem in its full detail please?
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  3. #3
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    Re: Monotonicit problem Help please

    Use the Monotonicity Thm to find where the given function is increasing or decreasing

    H(t)= sint, 0(<or=) t(<or=)2pi
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  4. #4
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    Re: Monotonicit problem Help please

    I've never heard of the monotonicity theorem before, but I probably know it by another name (or perhaps by no name at all).

    The derivative of $\displaystyle \sin{t}$ is $\displaystyle \cos{t}$ which is positive for $\displaystyle 0<t<\frac{\pi}{2}$ and $\displaystyle \frac{3\pi}{2}<t<2\pi$ and negative for $\displaystyle \frac{\pi}{2}<t<\frac{3\pi}{2}$.

    - Hollywood
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