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Check the monotonicity of f(x)=x÷sinx in (0,p÷4)

Check the monotonicity of f(x)=x÷sinx in (0,p÷4)

Grade:11

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
10 years ago
f'(x)=sinx+xcosx/(sinx)^2=1/sinx(x)+xcos(x)/(sinx)^2
f'(x)>0 for all x in 0 to p/4
hence function in monotonically increasing.


Sher Mohammad
B.Tech, IIT Delhi

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