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0 votes
4.0k views
in Derivatives by (49.2k points)
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f(x) = x/sin x is

A. increasing in (0, 1)

B. decreasing in (0, 1)

C. increasing in (0, 1/2) and decreasing in (1/2, 1)

D. none of these

1 Answer

+1 vote
by (50.7k points)
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Best answer

Answer is : A. increasing in (0, 1)

Now see

In (0,1) sin x is increasing and cos x is decreasing

sin x – x cos x will be increasing

∴ f(x) is increasing in (0,1)

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