Let f(x) = {{:(,x +1,"where " x lt 2),(,...

Let `f(x) = {{:(,x +1,"where " x lt 2),(,2x -1, "where " x ge 2):}` then `f'(2)` is equal to

A

0

B

1

C

2

D

does not exist

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If f(x) = {:{((x -1)/(2x^(2) - 7 x +5) , " for " x ne 1) , (-1/3 , " for " x = 1):} then f' (1) is equal to

Let g(x)=1+x-[x] and f(x)={{:(-1",", x lt 0),(0",",x=0),(1",", x gt 0):} , then for all x , f[g(x)] is equal to

If f(x) = (x-1)/(x+1) , then f(2x) is equal to

If f(x)={:{(x", for " 0 le x lt 1/2),(1-x", for " 1/2 le x lt 1):} , then

Define f(x) = {{:(x^(2)+bx+c , ",",x lt 1),(x,",",x ge 1):} . If f(x) is differentiable at x = 1 , then (b - c) =

If f(x) = {(x-1,",", x lt 0),(1/4,",",x = 0),(x^2,",",x gt 0):}

Function f(x)={(x-1",",x lt 2),(2x-3",", x ge 2):} is a continuous function

If f(x)={:{(x", for " 0 le x lt 1),(2", for " x=1),(x+1", for " 1 lt x le 2):} , then f is