For a rectangle with constant area

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

48\text{ cm}^2

, the width is

6\text{ cm}

and increasing at

2\text{ cm/s}

. Calculate

\dfrac{dL}{dt}

, the rate at which the length is changing at that instant. (a)

-\dfrac{4}{3}\text{ cm/s}

(b)

-\dfrac{8}{3}\text{ cm/s}

(c)

\dfrac{8}{3}\text{ cm/s}

(d)

-\dfrac{3}{2}\text{ cm/s}