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

2 Answers

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gsenviro | College Teacher | (Level 1) Educator Emeritus

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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.