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Further applications of differentiation — Question 341

Original QCE Vault practice · 1 mark

Q341 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 341

The graph of f′(x)=(x−1)2(x−3)f^{\prime}(x)=(x-1)^2(x-3) is shown for 0<x<40<x<4. Which statement describes the local extrema of ff on this interval?
Graph of f prime(x)=(x-1)^2(x-3) on [0,4], with a horizontal touch at x=1 and crossing at x=3.
(A)
A local maximum at x=1x=1 only.
(B)
A local maximum at x=1x=1 and a local minimum at x=3x=3.
(C)
A local minimum at x=1x=1 and a local maximum at x=3x=3.
(D)
A local minimum at x=3x=3 only.
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