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Math Help - derivatives of trig functions

  1. #1
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    derivatives of trig functions

    Differentiate the following function.
    g(t) = 6 sec(t) + 7 cot(t)

    g'(t) = ?


    I tried using the sum rule and got
    g'(t) = sec(t)tan(t) + sec^2(t)

    is that right?
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  2. #2
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    Quote Originally Posted by break View Post
    Differentiate the following function.
    g(t) = 6 sec(t) + 7 cot(t)

    g'(t) = ?


    I tried using the sum rule and got
    g'(t) = sec(t)tan(t) + sec^2(t)

    is that right?
    The derivative of cot(t) is -csc^2(t), this can be shown by using the quotient rule to differentiate cot(t)=\frac{cos(t)}{sin(t)}. Also, you have to keep the constants. The derivative should be:

    g'(t)=6sec(t)tan(t)-7csc^2(t)
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