Question

solve the following​

Answer 1

Heya!

{ 2x - 1 if x< 1/2

F(x) =

{ 3 - 6x if x≥ 1/2

R.H.D

lim F ( 1/2 + h ) - F(1/2)

h-->0 __________________

h

lim 3 - 3 -6h

h-->0 _______

h

= -6

L.H.D

lim F ( 1/2 - h ) - F(1/2)

h-->0 __________________

-h

lim 1 - 2h - 1

h-->0 ________

-h

lim 2

h-->0

L.H.D ≠ R.H.D

SO, THIS FUNCTION IS NOT DIFFERENTIABLE AT X = 1/2

Answer 2

Please see the attachment