Grade 11Algebra
Check the monotonicity of f(x)=x÷sinx in (0,p÷4)
1 Answer
Sher Mohammad
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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