Derivative of the volume of a cube

AI Thread Summary
The discussion focuses on finding the second derivative of the volume of a cube concerning the length of a side. The initial function proposed, f(x) = x^3/x, simplifies to f(x) = x^2, which represents the surface area of a face rather than the volume. The correct formula for the volume of a cube is V = x^3, and the first derivative is V' = 3x^2. To find the second derivative, one would differentiate V' again, resulting in V'' = 6x. Clarification on the correct formula and derivatives is essential for accurate calculations.
dunit909
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I am asked to find the second derivative of the volume of a cube with respect to the length of a side.

would my initial f(x)=x3/x ??

than just follow with the quotient rule to get f(2)(x)?
 
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dunit909 said:
I am asked to find the second derivative of the volume of a cube with respect to the length of a side.

would my initial f(x)=x3/x ??

than just follow with the quotient rule to get f(2)(x)?
Why do you have f(x) = x3/x = x2? Wouldn't that just be the surface area of a single face of the cube rather than it's volume?
 
What is the FORMULA for the volume of a cube? What is the derivative of that?
 

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