Question 384716
{{{ x^3 -tx^2 - 4= 0 }}}
{{{3x^2*dx-(t(2x*dx)+x^2*dt)=0}}}
{{{3x^2*dx-2xt*dx-x^2*dt=0}}}
{{{(3x^2-2xt)*dx=x^2*dt}}}
{{{dx/dt=x^2/(3x^2-2xt)}}}
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If {{{t=-3}}} and {{{x=-2}}}, then,
{{{dx/dt=4/(12-12)}}}
{{{dx/dt}}} is undefined.
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If {{{t=-2}}} and {{{x=-3}}}, then,
{{{dx/dt=9/(27-12)}}}
{{{dx/dt=9/15}}}
{{{dx/dt=3/5}}}