Engineering Board Exam Reviewer · Derivatives of Algebraic Functions · medium

Find y' if y=(3x2+1)5.

1. 30x(3x2+1)4
2. 5(3x2+1)4
3. 6x(3x2+1)4
4. 15x(3x2+1)4

Answer

A. 30x(3x2+1)4

Solution

By the chain rule: y'=5(3x2+1)4·6x=30x(3x2+1)4.

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