For , the rate of change of with respect to time is at the instant when . Calculate…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

For

y = \sin x

, the rate of change of

y

with respect to time is

0.05\,\text{s}^{-1}

at the instant when

x = \dfrac{\pi}{6}

. Calculate

\dfrac{dx}{dt}

at that instant.