Engineering Board Exam Reviewer · Derivatives of Algebraic Functions · medium

Find y' if y=x2+3/x-1.

1. 3 x2 - 2 x + 3≤ft(x - 1 )2
2. 2 x≤ft(x - 1 )2
3. x2 - 2 x - 3x - 1
4. x2 - 2 x - 3≤ft(x - 1 )2

Answer

D. x2 - 2 x - 3≤ft(x - 1 )2

Solution

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

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