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Math Help - help in differentiating

  1. #1
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    help in differentiating

    function f is defined by f(x)=4sin(x)+9/(1+sin(x)) with 0<=x<=pi

    1)Evaluate the first and second derivative of f.
    2)Find and classify the stationary points of the funtion
    3)Find the greatest and least values of f(x)
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  2. #2
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    Quote Originally Posted by goaway716 View Post
    function f is defined by f(x)=4sin(x)+9/(1+sin(x)) with 0<=x<=pi

    1)Evaluate the first and second derivative of f.
    2)Find and classify the stationary points of the funtion
    3)Find the greatest and least values of f(x)
    ok, start by letting us see what you got for f'(x) ...
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  3. #3
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    got the first derivative

    dy/dx=4cos(x)-9cos(x)/(1+sinx)^2

    struggling with the second derivative for the first part of the question
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  4. #4
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    Your f'(x) looks fine to me

    You can use the quotient rule on the second term.

    u = 9\cos(x) \:  \rightarrow \: u' = -9\sin(x)

    v = [1+sin(x)]^2 \:  \: \rightarrow \: v' = 2\cos(x)[1+\sin(x)]
    Last edited by e^(i*pi); March 13th 2010 at 05:35 AM. Reason: changing notation
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