Hi, I've asked this question before but the answers i've been getting is not complete. It's asking if there's any value of b that will make the function differentiable at x = 0. And asks to explain /...

Hi, I've asked this question before but the answers i've been getting is not complete. It's asking if there's any value of b that will make the function differentiable at x = 0. And asks to explain / justify. Could you please do the question fully and not stop at b = some value and conclude there. There's more steps involved to the question. Please do the whole steps! It's urgent ??? Thank you

Extracted text: Question 4 x+b if x<0 is="" there="" a="" value="" of="" b="" that="" will="" make="" f(x)="differentiable" at="" x="0" justify="" your="" answer.="" cos="" x="" if="" x="">0 Show ALL your work, explanation and justifications