Conisder the function `f(x)={{:(x^(2)ln|x|,xne0),(0,x=0):}. "What is"` f'(0) equal to?

f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0

Discuss the continuity of f(x) ={{:(((x^(2))/(|x|,xne0),(0,x=0):}

The function f(x)=x^(2)"sin"(1)/(x) , xne0,f(0)=0 at x=0

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

If f(x)=log|x|,xne0 , then what is f(x) equal to ?

Consider the following functions: 1. f(x)={{:((1)/(x),if,xne0),(0,if,x=0):} 2. f(x)={{:(2x+5ifxgt0),(x^(2)+2x+5ifxle0):} Which of the above functions is / are derivable at x=0?

Consider the following function : 1. f(x)={{:((1)/(x),if,xne0),(0,if,x=0):} 2. f(x)={{:(2x+5,"if "xgt0),(x^(2)+2x+5,"if "xle0):} Which of the above function is/are derivable at x = 0?

Discuss the continuity of the function : f(x)={{:((1-cosx)/x^(2)", "xne0),(1", "x=0):} at x = 0.