If s = (2 + 3t)(5t - 4), find dydx d y d x when t = 45 4 5 sec

If s = (2 + 3t)(5t - 4), find $\frac{dy}{dx}$ when t = $\frac{4}{5}$ sec

Answer Details

s = (2 + 3t)(5t - 4), find $\frac{dy}{dx}$ when t = $\frac{4}{5}$ sec
= 10t - 8 + 15t2 - 12t
$\frac{ds}{dt}$ = 15t2 - 2t - 8
= 30t - 2 ; t = $\frac{4}{5}$
= 30t - 2
= 30 x $\frac{4}{5}$ - 2 $\to$ 24 - 2
= 22 sec