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Derivatives : Rate of travel along a curve with respect to the x-axis.

As a particle travels along the curve y=x^(3/2) its distance from the origin is increasing at a rate of 11units/sec. At what rate is the particle traveling with respect to the x-axis at the moment that the x-coordinate of the particle is 3?

Choices are: A. 3.5, B. 4, C. 4.5, D. 5, E. 5.5

Please show work.

Solution Preview

The distance between a point (x, y) on the curve y = x^(3/2) and the origin is s = sqrt{x^2 + y^2} ...

Solution Summary

Derivatives are used to find the rate of travel along a curve with respect to the x-axis. The response received a rating of "5/5" from the student who originally posted the question.

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