Engineering Board Exam Reviewer · Derivatives of Trigonometric Functions · hard

Differentiate y= x/1+ x.

1. 1/1+ x
2. x
3. -1/1+ x
4. 1/1- x

Answer

A. 1/1+ x

Solution

By the quotient rule: y'= x(1+ x)- x(- x)/(1+ x)2= x+ 2x+ 2x/(1+ x)2=1+ x/(1+ x)2=1/1+ x.

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