



 
Hi Michael, I am going to change the problem slightly
The key to both of these problems is the chain rule, in fact for both problems you need to use the chain rule twice. First I want to rewrite g(x) writing 4/x as 4x^{1}.
What I immediately see is that g(x) is some function squared.
Using the chain rule
Now to find d/dx[tan( 4x^{1})] I need to differentiate the tangent function. The derivative of the tangent function is the square of the secant function so, again using the chain rule
Finally I need to differentiate 4x^{1}.
My original question didn't have negative exponents so I would write my answer as
Now try your problem. Harley  


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