
Lora K.
asked 02/04/23find the derivative
y=(x+2)(x-1)(x^2+8)
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1 Expert Answer
Raymond B. answered 02/04/23
Tutor
5
(2)
Math, microeconomics or criminal justice
y = (x+2)(x-1)(x^2 +8)
= (x^2+2x-x -2)(x^2+8)
= (x^2 +x-2)(x^2+8)
y' = (x^2+x -2)(2x) + (x^2+8)(2x+1)
=2x^3 +2x^2 -4x +2x^3 +x^2+16x +8
= 4x^3 +3x^2 +12x + 8
y = x^4+x^3 +6x^2 +8x -16
y'= 4x^3 +3x^2 +12x + 8
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Patrick F.
02/04/23