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check the monotonicity of f(x)=x÷(sin x) in (0,p) check the monotonicity of f(x)=x÷(sin x) in (0,p)
f'(x)=sinx-xcosx/(sinx)^2for small x, sinx=xf'(x)=x(1-cos x)> greater than zerofor higher values of x, also f'(x)>0, hence the function f(x) is monotonically increasing.Sher MohammadB.Tech, IIT Delhi
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