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`

Let f(x) =x - tan^(-1)x. Prove that f(x) is monotonically increasing for x in R

f(x)=x+(1)/(x),x!=0 is monotonic increasing when

Let f(x)=tan^(-1)(g(x)), where g(x) is monotonically increasing for 0

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

f(x)=|x-1|+2|x-3|-|x+2| is monotonically increasing at x=?

If f(x)=x^3+2x then find the value of f(4)

Let f(x)=min{4x+1,x+2,-2x+4}. then the maximum value of f(x) is

Let f:(0,oo)vec R be given by f(x)=int_((1)/(x))^(x)(e^(-(t+(1)/(t)))dt)/(t), then (a)f(x) is monotonically increasing on [1,oo)(b)f(x) is monotonically decreasing on (1,oo)(b)f(x) is an odd function of x on R

If f(x)=x^3+4x^2+ax+5 is a monotonically decreasing function of x in the largest possible interval (-2,-2//3), then the value of a is