For a smooth curve defined parametrically by and

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

For a smooth curve defined parametrically by

x=f(t)

and

y=g(t)

, which of the following conditions indicates that the curve has a vertical tangent line at

t=a

? (a)

f'(a)=0\text{ and }g'(a)=0

(b)

f'(a)=0\text{ and }g'(a)\neq 0

(c)

f'(a)\neq 0\text{ and }g'(a)=0

(d)

f'(a)=g'(a)