Question

The point on the curve $6y=x^3+2$ at which y-co-ordinate is changing 8 times as fast as x-coordinate is ................

• A. $(4,11)$
• B. $(4,-11)$
• C. $(-4,11)$
• D. $(-4,-11)$

Answer 1

The correct option is A $(4,11)$

given,
$dy=8\cdot dx$
$6y=x^3+2\Rightarrow \frac{dy}{dx}=\frac{x^2}{2}\Rightarrow 8=\frac{x^2}{2}\Rightarrow x=4Forx=4,y=11$