Increasing and decreasing functions #shorts

If f(x)=(x^2)/(2-2cosx);g(x)=(x^2)/(6x-6sinx) where 0 < x < 1, (A) both 'f' and 'g' are increasing functions (B) 'f' is increasing and 'g' is decreasing functions (C) 'f' is decreasing and 'g' is increasing functions (D) both 'f' and 'g' are decreasing functions

Find the interval of increasing and decreasing of the function f(x) =(log x)/(x)

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If g(x)=f((|x|)/(x)) is a a an increasing function b)a decreasing function c)a constant function d) none of these

Q.The function f(x)=ln[x^(3)+sqrt(x^(6)+1)] is an (a) even function (b) odd function (c) increasing function (d) decreasing function