Engineering Board Exam Reviewer · Derivatives of Algebraic Functions · medium

Find y' if y=(x+1)(x-2)3.

1. (x-2)2(4x+1)
2. (x-2)3
3. 3(x+1)(x-2)2
4. 4x(x-2)2

Answer

A. (x-2)2(4x+1)

Solution

By the product rule: y'=(x-2)3+(x+1)·3(x-2)2=(x-2)2≤ft[(x-2)+3(x+1) ]=(x-2)2(4x+1).

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