Related Rates: Videos & Practice Problems

A bead moves along a wire-shaped curve given by the equation $y=0.5x^2$. The bead's horizontal position changes at a steady rate of $3\text{ m/s}$. Calculate the rate at which the inclination angle $\gamma$ of the bead's trajectory with the positive vertical axis changes when the bead is $4$ meters away from the origin in the horizontal direction.