A curve is represented by and with

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A curve is represented by

x=f(t)

and

y=g(t)

with

\dfrac{dx}{dt}\ne0

. Explain, in one sentence, the condition on

g'(t)

that gives a horizontal tangent to the curve at a point corresponding to the parameter value

t