Question

Find (dy)/(dx) if x=3at^(3) and y=4at^(2)​

Answer 1

Answer:

$x = 3a {t}^{3} \\ differentiating \: w. \: r. \: to \: \: t \\ = > \frac{dx}{dt} \: = 9a {t}^{2} \\ \\ \\ y = 4a {t}^{2} \\ differentiating \: w. \: r. \: to \: \: t \\ = > \frac{dy}{dt} \: =8at \\ \\ \\ now \: \: \frac{dy}{dx} = \frac{dy}{dt} \times \frac{dt}{dx} \\ = 8at \times \frac{1}{9a {t}^{2} } = \frac{8}{9t}$