AM-1805

Chain rule

A Math · Secondary 4 · Medium · Chain rule

The distance

s

metres between two moving points at time

t

seconds is modeled by

s=\sqrt{400t^2-1600t+6400}

.
Find

\dfrac{ds}{dt}

in terms of

t

.

$\dfrac{400t+800}{\sqrt{400t^2-1600t+6400}}$
$\dfrac{800t-1600}{\sqrt{400t^2-1600t+6400}}$
$\dfrac{400t-800}{2\sqrt{400t^2-1600t+6400}}$
$\dfrac{800t-1600}{2\sqrt{400t^2-1600t+6400}}$

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