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Question
hiii help me answer this
If V is the volume of a cube with edge length X, find dV/dt in terms of dx/dt
Hi Sara
We do this using the chain rule:
dV/dt = (dV/dx) (dx/dt)
Here, dV/dt is the rate of change in volume with respect to time, dV/dx is the rate of change in volume with respect to its length, and dx/dt is the rate of change in length with respect to time.
Since V=x^3 for a cube, direct differentiation gives dV/dx=3*x^2.
So, dV/dt = 3*x^2 (dx/dt)
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Josh
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When I work through problems, I like to emphasize concepts which I believe are worth noting. I will try to answer questions in the following areas, but not at the advanced level. Algebra. Sequences & Series. Trigonometry. Functions & Graphs. Coordinate Geometry. Quadratic Polynomials. Exponential & Logarithms. Basic Calculus. Probability, Permutation and Combination. Mathematical Induction. Complex numbers. Physics problems.
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