if x=at^3 and y=bt^2 then find dy/dx - Maths - Limits and Derivatives

Question

if x=at^3 and y=bt^2 then find dy/dx

Pooja · Accepted Answer

x = at3, y = bt2we find dxdt and dydt
dxdt = dat3dt = 3at2dydt = dbt2dt = 2btThus, dydx=dydtdxdt=2bt3at2 = 2b3at dydx= 2b3at (answer)