Consider the curve for

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

Problem

Consider the curve x=t2+1,  y=t3−3tx=t^{2}+1,\;y=t^{3}-3t for −2≤t≤2-2\le t\le2. At which value(s) of tt does the curve have a horizontal tangent? (a) t=0t=0 (b) t=1t=1 only (c) t=1t=1 and t=−1t=-1 (d) t=−1, 0, 1t=-1,\,0,\,1

Related theory

Browse the problem library