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tmua.me Medium Set E Paper 1 · Q9

Paper 1GeometryFunctions & graphs

A function ff, defined for all real xx, satisfies

f′′(x)=6xandf′(1)=2.f''(x)=6x\qquad\text{and}\qquad f'(1)=2.

What is the positive difference between the xx-coordinates of the two points where the curve y=f(x)y=f(x) has a horizontal tangent?

A00
B13\dfrac1{\sqrt3}
C23\dfrac23
D23\dfrac2{\sqrt3}
E232\sqrt3

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