How do you differentiate $sin(sin(sinx))$ ?

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Answer 1 · 2016-06-29T17:31:03

$(df)/(dx)=cosxcos(sinx)cos(sin(sinx))$

This can be factorized using chain rule for function of a function.

$f(x)=sin(sin(sinx))$

Hence $(df)/(dx)=cos(sin(sinx))xxcos(sinx)xxcosx$

= $cosxcos(sinx)cos(sin(sinx))$

How do you differentiate sin(sin(sinx))sin(sin(sinx))?