State the condition on and that must be satisfied at a parameter value for a…

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

Problem

State the condition on

\frac{dy}{dt}

and

\frac{dx}{dt}

that must be satisfied at a parameter value

t=a

for a parametric curve

(x(t),y(t))

to have a horizontal tangent line at the corresponding point.