If `f(x)=x^(3/2)(3x-10),xgeq0,` then `f(x)` is increasing in ____.

IF f(x) = ( x+2)/(3x-1) , then f(f(x)) is

Prove that the function given by f(x) = x^(3) – 3x^(2) + 3x – 100 is increasing in R.

If f(x)={x^2, for xgeq1x ,for x<0 ,t h e n fof(x) is given by

Show that the function f given by f(x) = x^(3)-3x^(2)+4x,x in R is increasing on R.

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^3-3(a-2)x^2+3ax+7 and f(x) is increasing in (0,1] and decreasing is [1,5) , then roots of the equation (f(x)-14)/((x-1)^2)=0 is (A) 1 (B) 3 (C) 7 (D) -2

If f''(x) gt forall in R, f(3)=0 and g(x) =f(tan^(2)x-2tanx+4y)0ltxlt(pi)/(2) ,then g(x) is increasing in

The function f(x)=x^(9)+3x^(7)+64 is increasing on ________

Find the intervals in which the function f given by f(x) =x^(3) +(1)/(x^(3)) , xne 0 is (i) increasing (ii) decreasing .

If f(x)={(sin(x^(2)-3x),xle0 .^x+5x^(2),xgt0