## Related questions with answers

Question

Find the instantaneous of change of the volume of a cube with respect to its edge length $x$ as $x$ changes from

$x=5$.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2The instantaneous rate of change of the volume $y$ of a cube with respect to its edges length $x$ corresponds to the derivative of $y$ with respect to $x$.

$\begin{aligned} \frac{d y}{dx}&=\frac{d}{dx} (x^3)\\ &=3x^2. \end{aligned}$

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