The variables and are related by

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The variables

x

and

y

are related by

x^{2}y+y^{3}=7

. When

x=1

,

y=2

and

x

is decreasing at

3\,\text{units s}^{-1}

, calculate

\dfrac{dy}{dt}

.

Related theory

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