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tmua.me Medium Set D Paper 1 · Q10

Paper 1Algebra

For a real constant aa, a curve has equation

y=x2+ax−a−3x,x>0.y=\frac{x^2+ax-a-3}{\sqrt{x}},\qquad x>0.

For which values of aa does the curve have both a local maximum and a local minimum?

Aa<−3a<-3
B−3<a<0-3<a<0
C−3≤a<6−62-3\leq a<6-6\sqrt2
D−3<a<6−62-3<a<6-6\sqrt2
E−3<a≤6−62-3<a\leq6-6\sqrt2
Fa<6−62 or a>6+62a<6-6\sqrt2\ \text{or}\ a>6+6\sqrt2

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