At an instant

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

At an instant, the coordinate

y

of a particle is increasing at

4\,\mathrm{cm\,s^{-1}}

while its

x

-coordinate is decreasing at

2\,\mathrm{cm\,s^{-1}}

. Determine the sign of

\dfrac{dy}{dx}

at that instant and justify your answer in one sentence.