Function `f(x)=|x|-|x-1|` is monotonically increasing when `x<0` (b) `x >1` `x<1` (d) `0

The function y=2x^2-ln|x| is monotonically increasing for values of x(!=0) satisfying the inequalities____ and monotonically decreasing for values of x satisfying the inequalities_____.

Let f(x) be and even function in R. If f(x) is monotonically increasing in [2, 6], then

Find the possible values of a such that f(x)=e^(2x)-(a+1)e^x+2x is monotonically increasing for x in Rdot

Let f(x)=|x^2-3x-4|,-1lt=xlt=4 Then f(x) is monotonically increasing in [-1,3/2] f(x) monotonically decreasing in (3/2,4) the maximum value of f(x)i s(25)/4 the minimum value of f(x) is 0

Prove that the function f(x)=(log)_e(x^2+1)-e^(-x)+1 is strictly increasing AAx in Rdot

f(x)=[x] is step-up function. Is it a monotonically increasing function for x in R ?

Find the complete set of values of alpha for which the function f(x) = {(x+1,xlt1 alpha , x =1 , is strictly increasing x=1 x^(2)-x+3,xgt1

The least integral value of x where f(x)=(log)_(1/2)(x^2-2x-3) is monotonically decreasing is________

f(x)=4tanx-tan^2x+tan^3x ,x!=npi+pi/2, (a)is monotonically increasing (b)is monotonically decreasing (c)has a point of maxima (d)has a point of minima

Let f be the function f(x)=cosx-(1-(x^2)/2)dot Then f(x) is an increasing function in (0,oo) f(x) is a decreasing function in (-oo,oo) f(x) is an increasing function in (-oo,oo) f(x) is a decreasing function in (-oo,0)