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

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

Use 

  u = x³+2x      and      v = x²-x
 = 3x²+2               = 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
RELATED QUESTIONS

The second order derivative d^2f/dx^2 of f (x)= x exp (-x) is? (answered by Alan3354)
find the most general anti-derivative D^-1 X... (answered by Fombitz)
Find the Equation of a Tangent Line to f(x) = 3x^2 - 11x + 23 at the point (1,15) I've (answered by robertb)
If y(x) = ln(secx + tanx), determine the third derivative of y(x), i.e., find d^3y/dx^3. (answered by Edwin McCravy)
Compute derivative of the following function by two different methods. f(x) = (x^3 +... (answered by ewatrrr)
Find the derivative of the following functions. Note that you need to use the Chain Rule (answered by ewatrrr)
given two functions f(x) and g(x) show that the sum of their derivatives equals the... (answered by stanbon)
Find f’(t) for f(x) = (3x-4) (4x^3 - x^2 + 1) Find f’(t) for f(x) = x/(4x-6) (answered by greenestamps)
Expand each function (using the appropriate technique/formula). Compute the derivative of (answered by Fombitz)