Engineering Board Exam Reviewer · Derivatives of Algebraic Functions · medium

Differentiate y=sqrt(4x2+9).

1. 4xsqrt(4x2+9)
2. 8xsqrt(4x2+9)
3. xsqrt(4x2+9)
4. 4x2sqrt(4x2+9)

Answer

A. 4xsqrt(4x2+9)

Solution

By the chain rule: y'=1/2(4x2+9)-1/2(8x)= 4xsqrt(4x2+9).

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