The interval in which the function `f(x) = 10-6x+2x^2` strictly increasing is (a)`(-oo , 3/2)` (b)`(3/2 , oo)` (c) `(-oo , 2/3)` (d) `(2/3 , oo)`

The interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing is (a) ( -oo , oo ) (b) ( -oo , 0 ) (c) ( 2 , oo ) (d) ( 0 , 2 )

the interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing, is (a) ( -(oo) , (oo) ) (b) ( -(oo) , 0 ) (c) ( 2 , (oo) ) (d) ( 0 , 2 )

the interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing, is (a) ( -(oo) , (oo) ) (b) ( -(oo) , 0 ) (c) ( 2 , (oo) ) (d) ( 0 , 2 )

Show that the function f(x)=x^2 is strictly increasing function on (0,\ oo) .

The differentiable function y= f(x) has a property that the chord joining any two points A (x _(1), f (x_(1)) and B (x_(2), f(x _(2))) always intersects y-axis at (0,2 x _(1) x _(2)). Given that f (1) =-1. then: The largest interval in which y =f (x) is monotonically increasing, is : (a) (-oo,(1)/(2)] (b) [(-1)/(2),oo) (c) (-oo, (1)/(4)] (d) [(-1)/(4), oo)

Show that the function f(x)=x^(2) is a strictly increasing function on (0,oo).

f(x)=(x-2)|x-3| is monotonically increasing in (a) (-oo,5/2)uu(3,oo) (b) (5/2,oo) (c) (2,oo) (d) (-oo,3)

If the function f(x)=2x^2-k x+5 is increasing on [1,\ 2] , then k lies in the interval (a) (-oo,\ 4) (b) (4,\ oo) (c) (-oo,\ 8) (d) (8,\ oo)

The function f(x)=x^9+3x^7+64 is increasing on (a) R (b) (-oo,\ 0) (c) (0,\ oo) (d) R_0

The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) (b) (-1,\ oo) (c) (-oo,\ oo) (d) (0,\ oo)