1And the 2nd one??
(Aside: My books HAS an answer for the 1st one)
Find the intervals of monotonicity of
1) sin\frac{\pi }{x}
2)(log_{3}x)^{2} + log_{3}x
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10 Answers
1
33don't be afraid by the function, just treat it as you would have treat sinx or lnx
1I tried...but there is a slight variation in the answer [2]
1(log_3x)=logx/log3
Question \ becomes \ f(x)=(\frac{logx}{log3})^2 +\frac{logx}{log3}
f'(x)=(\frac{1}{log3})^2(2logx)(\frac{1}{x}) +\frac{1}{xlog3}
Critical points are x=0,1√3
So f(x) is monotonic in (0,1√3)U(1√3,∞)