`y = sin(sin(sin(x)))` Find the derivative of the function.

Expert Answers
gsenviro eNotes educator| Certified Educator

Using d/dx (sin x) = cos x . d/dx (x) = cos x

`y' = d/dx sin(sin(sin x)) = cos(sin(sinx)) * d/dx (sin(sinx))`

`= cos(sin(sin x)) * cos(sin x) d/dx (sin x)`

`= cos(sin(sin x)) * cos(sin x) * cos x`

hope this helps.

vineetchaurasia | Student

It can be solved by method of derivation by substitution. 

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