The function f defined by `f(x) =[2x^2+3 for x leq 1 and 3x+2 for x lt 1` is neither differentiable nor continuousat `x = 1`.

Find the values of a and b , if the function f(x) defined by f(x)={x^2+3x+a ,\ \ xlt=1b x+2,\ \ \ \ \ \ \ \ \ \ x >1 is differentiable at x=1 .

A function is defined by f(x)=2x-3 Find x such that f(x)=f(1-x) .

Let f(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1lexle2),(3x-x^(2)" for "xgt2):} What is the differentiable coefficient of f(x) at x=3 ?

Prove that the greatest integer function defined by f(x) =[x] ,0 lt x lt 2 is not differentiable at x=1

Find the values of a and b , if the function f defined by f(x)={x^2+3x+a ; if xlt=1, b x+2 ; if x >1 is differentiable at x=1

If the function f be defined by f(x) =(2x +1)/(1-3x) , then f ^(-1) (x) is-

Let f(x) be a function defined in 1lexltoo by. f(x)={:[(2-x,"for "1lexle2),(3x-x^(2),"for "xgt2):} What is the differentiable coefficient of f(x) at x = 3?

Let the function f be defined by f(x)=((2x+1)/(1-3x)) then f^(-1)(x) is