A curve is defined by the parametric equations and

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

Problem

A curve is defined by the parametric equations

x=t^{2}+1

and

y=t^{3}-3t

. Determine the equation of the tangent line to the curve at

t=1

. (a)

x=2

(b)

y=3x-8

(c)

y=-2

(d)

y=2x-6