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Math Help - Differentiating (tan (sin x))^2

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    Differentiating (tan (sin x))^2

    One of my homework problems is tan^2(sinx). So I know I have to use the product rule? (right?) but I don't understand how I could use the product rule if my f dosen't have an x in it, it's just tan^2. So, what would I do?
    Last edited by mr fantastic; May 12th 2010 at 09:16 PM. Reason: Re-titled.
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    Quote Originally Posted by timmehk View Post
    One of my homework problems is tan^2(sinx). So I know I have to use the product rule? (right?) but I don't understand how I could use the product rule if my f dosen't have an x in it, it's just tan^2. So, what would I do?
    From context I gather that you need to find the derivative.

    The composition of functions works like this:

    g(x)=tan^2\ x

    h(x)=sin\ x

    f(x)=g(h(x))

    Oh and this is a situation for the chain rule.
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