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

Textbook Question

Chapter 3, 3.4 - Problem 40 - Calculus: Early Transcendentals (7th Edition, James Stewart).
See all solutions for this textbook.

2 Answers | Add Yours

gsenviro's profile pic

gsenviro | College Teacher | (Level 1) Educator Emeritus

Posted on

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.

We’ve answered 318,915 questions. We can answer yours, too.

Ask a question