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=6 centimeters. V'(6)=. cm^2
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Question 969626: 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=6 centimeters. V'(6)=. cm^2
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
This is really a beginning calculus problem.
You need the value of the derivative with respect to of the function .
That derivative can ve represented as or as .
For any value of that derivative (as a function of ) is
,
and for , its value is
.
NOTE: The derivative of any power, is the exponent times the power with an exponent that is one unit less.
If , then
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