Find an upper bound for $f(x) = \sin(\sin(x))$. I've run into this hard calculus problem that I can't seem to solve.  The question is:


  If $f(x) = \sin(\sin x)$, use a graph to find an upper bound for $|f^{(iv)}(x)|$.


I am not sure what I have to do.  Should I find the fourth derivative and then find the maximum of that graph.  Or do I have to do something completely different?

Thanks in advance.
To solve the problem, I agree with you that you must find the 4th derivative of the given functio then graph it using any graphing tools. But this is tedious. However, you can use Wolfram Alpha To help you on answering your problem. Wolfram Alpha gives the result below for the 4th derivative of $f$ ogether with the graph:
To solve the problem, I agree with you that you must find the 4th derivative of the given functio then graph it using any graphing tools. But this is tedious. However, you can use Wolfram Alpha To help you on answering your problem. Wolfram Alpha gives the result below for the 4th derivative of $f$ ogether with the graph: