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Grade: 12
        Check the monotonicity of f(x)=x÷sin x in (0,p÷2)
6 years ago

Answers : (1)

Sher Mohammad
IIT Delhi
askIITians Faculty
174 Points
							f'(x)=sinx-xcosx/(sinx)^2

for small x, sinx=x
f'(x)=x(1-cos x)> greater than zero
for higher values of x, also f'(x)>0, hence the function f(x) is monotonically increasing.

Sher Mohammad
B.Tech, IIT Delhi

6 years ago
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