If x = 3t2 + 5t + 6 and y = –4t3 – 2t2 + 5t + 7, t ≠ \(\frac{-5}{6}\)then the value of \(\frac{dy}{dx}\)is
Answer & explanation
Correct answer: option 2
\(\frac{dx}{dt}=6t+5\), $\frac{dy}{dt}=-12t^2-4t+5$
$∴\frac{dy}{dx}= \frac{dy/dt}{dx/dt} = \frac{-12t^2-4t+5}{6t+5}$
So, option 2 is correct.