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Calculus/Basic derivatives

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Expert: - 9/25/2008


Question
find the derivative of the function.
y = (1/2)x^2* (4-x)

Answer
Questioner:   Kristin
Category:  Calculus
Private:  No
 
Subject:  derivatives
Question:  find the derivative of the function.
y = (1/2)x^2* (4-x)
...................................
Hi, Kristin,

Try the product rule.  Do it this way:

Write dy/dx = ()() + ()()

Fill in:

dy/dx = (1/2 x^2)(-1) + (x)(4-x)

Simplify:

dy/dx = - 1/2 x^2 + 4x - x^2

dy/dx = - 3/2 x^2 + 4x

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