Let `f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)|`
Which of the following statement is/are correct?
1. g(x) is differentiable x=0.
g(x) is differentiable at x=2.
Select the correct aswer using the code given below:

Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| Which of the following statement is correct ? g(x) is differentiable at x=0 g(x) is differentiable at x=2

Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| What is the value of the differential coefficient of g(x) at x=-2?

Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| What is the value of differential coefficent of g(x) at x=-2

Consider the following for the following: Let f(x)={-2, -3<=x<=0; x-2, 0

Let f(x)={{:((e^(x)-1)/(x)",",xgt0),(0",",x=0):} be a real valued function. Which of the following statements is/are correct? 1. f(x) is right continuous at x=0. 2. f(x) is discontinuous at x=1. Seletct the correct answer using the code given below.

If f(x)={{:(x",",0lexle1),(2-e^(x-1)",",1ltxle2),(x-e",",2ltxle3):} and g'(x)=f(x), x in [1,3] , then

If f(x)={{:(x",",0lexle1),(2-e^(x-1)",",1ltxle2),(x-e",",2ltxle3):} and g'(x)=f(x), x in [1,3] , then