The function `y=sqrt(2x-x^2)` (A) increases in (0,2) (B) increases in (0, 1) but decreases in (1,2) (C) Decreases in (0,2) (D) Increases in (1,2) but decreases in (0,1)

Let f''(x)gt0 and phi(x)=f(x)+f(2-x),x in(0,2) be a function then the function phi(x) is (A) increasing in (0,1) and decreasing (1,2) (B) decreasing in (0, 1) and increasing (1,2) (C) increasing in (0, 2) (D) decreasing in (0,2)

Let f(x): [0, 2] to R be a twice differenctiable function such that f''(x) gt 0 , for all x in (0, 2) . If phi (x) = f(x) + f(2-x) , then phi is (A) increasing on (0, 1) and decreasing on (1, 2) (B) decreasing on (0, 2) (C) decreasing on (0, 1) and increasing on (1, 2) (D) increasing on (0, 2)

f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx then fis (A) increasing in (0,pi) and decreasing in (-oo,0)(B) increasing in (-oo,0) and decreasing in (0,oo)(C) increasing in (-oo,oo) and (D) decreasing in (-oo,oo)

Function f(x)=x^(2)(x-2)^(2) is (A) increasing in (0,1)uu(2,oo)

The function y=(2x^(2)-1)/(x^(4)) is neither increasing nor decreasing.

The function f(x)=(2x^(2)-1)/(x^(4)),x>0 decreases in the interval

The function (x-2)/(x+1),(xne0) is increasing on the interval

Let f(x)=xsqrt(4a x-x^2),(a >0)dot Then f(x) is a. increasing in (0,3a) decreasing in (3a, 4a) b. increasing in (a, 4a) decreasing in(5a ,oo) c. increasing in (0,4a) d. none of these

If x=y-(y)/(10), where y is a positive integer which increases in value,then x first increases in value then decreases (b) decreases in value (c) increases in value (d) first decreases then increases in value

If f(x)=2x+cot^(-1)x+log(sqrt(1+x^(2))-x) then f(x)( a)increase in (0,oo)( b)decrease in [0,oo]( c)neither increases nor decreases in [0,oo]( d) increase in (-oo,oo)