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Math Help - differentiate trig function

  1. #1
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    Question differentiate trig function

    Differentiate

    y= 2 csc x + 5 cos x

    I don't think I am doing this right..
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  2. #2
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    \frac{d}{dx}cf(x) = cf'(x)

    \frac{d}{dx}\csc{x} = -\csc{x}\cot{x}

    \frac{d}{dx}\cos{x} =-\sin{x}

    Post your answer here to see if it's correct or not.
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  3. #3
    o_O
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    The derivative of a sum is the sum of its derivatives: \frac{d}{dx} \left[ f(x) + g(x) \right] = \frac{d}{dx} f(x) + \frac{d}{dx} g(x)

    So just differentiate each term. What's the derivative of \csc x? How about that of \cos x?
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  4. #4
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    my answer was

    -2 csc x cot x - 5 sin x
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  5. #5
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    Correct.
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