Engineering Board Exam Reviewer · Derivatives of Algebraic Functions · easy

Find y' if y=4 x- 3x2.

1. - 6x3 + 2sqrt(x)
2. 6x3 + 12 sqrt(x)
3. 6x3 + 2sqrt(x)
4. 6/x + 2sqrt(x)

Answer

C. 6x3 + 2sqrt(x)

Solution

y=4x1/2-3x-2, so y'=2x-1/2+6x-3=2/ x+6/x3.

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