SOLUTION: Compute the derivative. d/dx[(x^3+2x)(x^2-x)]|x=2

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Question 801851: Compute the derivative.
d/dx[(x^3+2x)(x^2-x)]|x=2
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
expr%28d%2Fdx%29(x³+2x)(x²-x)|
                |x=2

Use d%28u%2Av%29%2Fdx=u%2Aexpr%28dv%2Fdx%29%2Bv%2Aexpr%28du%2Fdx%29

  u = x³+2x      and      v = x²-x
du%2Fdx = 3x²+2              dv%2Fdx = 2x-1

(x³+2x)(2x-1) + (x²-x)(3x²+2)|
                          |x=2

(2³+2·2)(2·2-1) + (2²-2)(3·2²+2)

(8+4)(4-1) + (4-2)(3·4+2)

(12)(3) + (2)(12+2)

36 + (2)(14)

36 + 28

64
Edwin