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Math Help - Turning points with Trigonometry

  1. #1
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    Turning points with Trigonometry

    Hey there. I've been doing turning points using quadratic equations and differentiation, but when it comes to using trigonomic deriviatives and the location of turning points I can't seem to find anything use In my text books.

    If y = sin2x

    If y = sin3x

    "Using differentiation, what is the value of the gradient and what are the value of x for the first turning points?"

    Obviously the deriviative is 2cos2x, 3cos3x, but locating the turning points from here is giving me a little trouble . Any help is greatly appreciated as I think this may be on my exam.

    (SORRY, i think this was posted in the wrong forum)
    Last edited by thecakeisalie; June 2nd 2008 at 02:57 AM.
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    Quote Originally Posted by thecakeisalie View Post
    Hey there. I've been doing turning points using quadratic equations and differentiation, but when it comes to using trigonomic deriviatives and the location of turning points I can't seem to find anything use In my text books.

    If y = sin2x

    If y = sin3x

    "Using differentiation, what is the value of the gradient and what are the value of x for the first turning points?"

    Obviously the deriviative is 2cos2x, 3cos3x, but locating the turning points from here is giving me a little trouble . Any help is greatly appreciated as I think this may be on my exam.

    (SORRY, i think this was posted in the wrong forum)
    When the function reaches a turning point then the function is at a relative max/min. What happens to the slope of the line tangent to the function at these points?

    -Dan
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