" (v) "f(x)=(x)/(2)+(2)/(x),x!=0

Find the intervals in which f(x)=(x)/(2)+(2)/(x),x!=0 is increasing or decreasing.

Find the intervals in which f(x)=(x)/(2)+(2)/(x),x!=0 is increasing or decreasing.

Find the points of local maxima or local minima,if any,using first derivative test,and local maximum or local minimum of f(x)=(x)/(2)+(2)/(x),x>0

Prove that the function f defined by f(x)(x)/(|x|+2x^(2)),x!=0 and k,x=0 remains discontinous at x=0, regardless the value of k.

Let f(x)={[(x)/(2x^(2)+|x|) , If x!=0] , [1, If x=0] then

Let f(x)= { [(x)/(2x^(2)+|x|)", "x!=0],[1", "x=0] } then f(x) is (A) continuous but non-differentiable at x=0 (B) differentiable at x=0 (C) discontinuous at x=0 (D) none of these

If f(x)={x^(2)sin((1)/(x^(2))),x!=0,k,x=0 is continuous at x=0, then the value of k is

f(x) ={{:((x)/(2x^(2)+|x|),xne0),( 1, x=0):} then f(x) is