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)

the function f(x)=x^2-x+1 is increasing and decreasing

Prove that the function f(x)=cos x is neither increasing nor decreasing in (0,2 pi)

Show that the function x^(2)-x+1 is neither increasing nor decreasing on (0,1).

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)

Prove that the function f(x)=(log)_(a)x is increasing on (0,oo) if a>1 and decreasing on (0,oo). if '0

Prove that the function f(x)=x^(2)-x+1 is neither increasing nor decreasing on (-1,1)

1.Prove that the function f(x)=log_(a)x is increasing on (0,oo) if a>1 and decreasing on (0,oo), if '0

Prove that the function f(x)=(log)_(a)x is increasing on (0,oo) if a>1 and decreasing on (0,oo), if 0