For a rectangle

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

For a rectangle, let

x(t)

be its length and

y(t)

be its width, both varying with time

t

. Answer the following. (a) Part 1: State the expression for its perimeter

P

in terms of

x

and

y

. (b) Part 2: Write

\frac{dP}{dt}

in terms of

\frac{dx}{dt}

and

\frac{dy}{dt}