Engineering Board Exam Reviewer · Derivatives of Algebraic Functions · medium

Find y' if y=xsqrt(x2+4).

1. 2 x2 + 4 x2 + 4
2. x x2 + 4 + x2 + 4
3. x x2 + 4
4. x2 + 4

Answer

A. 2 x2 + 4 x2 + 4

Solution

Product and chain rules: y'=sqrt(x2+4)+x· 2x2sqrt(x2+4)= x2+4+x2sqrt(x2+4)= 2x2+4sqrt(x2+4).

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