SOLUTION: The volume of a cube with sides of length s is given by V = s^3. Find the rate of change of the volume with respect to s when s = 2 centimeters. V '(2) = _____ cm2 i found th

Algebra ->  Volume -> SOLUTION: The volume of a cube with sides of length s is given by V = s^3. Find the rate of change of the volume with respect to s when s = 2 centimeters. V '(2) = _____ cm2 i found th      Log On


   



Question 264159: The volume of a cube with sides of length s is given by V = s^3. Find the rate of change of the volume with respect to s when s = 2 centimeters.
V '(2) = _____ cm2
i found the derivative to be V'= 3s^2 so V'(2)= 36?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a cube with sides of length s is given by V = s^3. Find the rate of change of the volume with respect to s when s = 2 centimeters.
V '(2) = _____ cm2
i found the derivative to be V'= 3s^2 so V'(2)= 36?
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Your method is good, but
V'(2) = 3*2^2 = 12