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Check the monotonicity of f (x) = x sin x in (0, p/2)

Check the monotonicity of f (x) =
x
sin x
in (0, p/2)

Grade:12

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
8 years ago
f'(x)=sinx+xcosx

f'(x)>0 between (0,pi/2)

hence the function is monotonically increasing.

Sher Mohammad
B.Tech, IIT Delhi

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