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Math Help - Transition Points, Point of Inflection and Critical Points

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    Transition Points, Point of Inflection and Critical Points

    f(t) = sin2(t)----This is sin squared t, 0 ≤ tπ

    Determine the interval(s) on which the function is concave up.

    Determine the interval(s) on which the function is concave down.

    Determine the inflection Points

    Determine the critical points.
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  2. #2
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    Quote Originally Posted by elexis10 View Post
    f(t) = sin2(t)----This is sin squared t, 0 ≤ tπ

    Determine the interval(s) on which the function is concave up.

    Determine the interval(s) on which the function is concave down.

    Determine the inflection Points

    Determine the critical points.
    f'(t) = 2sin(t)cos(t)
    For concave up function, the slope is positive.
    In the first quadrant both sin(t) and cos(t) are positive.
    For concave down function, the slope is negative.
    It is possible when t is .........?
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