A particle moves along the parabola

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

y^{2}=12x

. When the particle is at

(3,6)

, its

y

–coordinate is increasing at

4\text{ cm/s}

. Determine the instantaneous rate of change of the

x

–coordinate,

\dfrac{dx}{dt}

, at that point (include units).