A particle moves so that its coordinates satisfy

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

Problem

x^{2}+y^{2}=\bigl(x^{2}-y^{2}\bigr)^{2}

. At the moment the particle is at

\bigl(\sqrt{3},1\bigr)

, the

y

–coordinate is increasing at

2\text{ units/s}

. Compute

\dfrac{dx}{dt}

at that instant (include units).