Differentiating (tan (sin x))^2

May 2010
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0
One of my homework problems is \(\displaystyle tan^2(sinx)\). 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 \(\displaystyle tan^2\). So, what would I do?
 
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MHF Hall of Honor
Mar 2010
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Chicago
One of my homework problems is \(\displaystyle tan^2(sinx)\). 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 \(\displaystyle tan^2\). So, what would I do?
From context I gather that you need to find the derivative.

The composition of functions works like this:

\(\displaystyle g(x)=tan^2\ x\)

\(\displaystyle h(x)=sin\ x\)

\(\displaystyle f(x)=g(h(x))\)

Oh and this is a situation for the chain rule.