Engineering Board Exam Reviewer · Derivatives of Inverse Trigonometric Functions · hard

Find y' if y= ≤ft(x/3 ).

1. 3/9+x2
2. 1/9+x2
3. 1/3(1+x2)
4. 9/9+x2

Answer

A. 3/9+x2

Solution

By the chain rule: y'=1/3/1+(x/3)2=1/3/(9+x2)/9=3/9+x2.

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