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Math Help - Differentiation and finding horizontal tangent points

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    Differentiation and finding horizontal tangent points

    Given f(x) = xcosx + xsinx find the horizontal tangent points in [0,2pi). Okay, I found the derivative f'(x) = -xsinx + cosx + xcosx + sinx. I set f'(x) = 0, but I can't seem to factor this equation. I've tried everything I know. If anyone can tell me how to solve this, it would be greatly appreciated. Thank you
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    Re: Differentiation and finding horizontal tangent points

    Quote Originally Posted by eaglesfan84 View Post
    Given f(x) = xcosx + xsinx find the horizontal tangent points in [0,2pi). Okay, I found the derivative f'(x) = -xsinx + cosx + xcosx + sinx. I set f'(x) = 0, but I can't seem to factor this equation. I've tried everything I know. If anyone can tell me how to solve this, it would be greatly appreciated. Thank you
    Are you expecetd to get exact answers? Are you expected NOT to be using a graphics or CAS calculator?
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