On APEX the answer is: No such value exists
I'm pretty sure this is because for any value you put for b the graph of the function at x=0 is either discontinuous (so it can't be differentiable) or forms a corner, which basically means the function does not approach the same tangent line at the corner from the left- and right-hand sides. Therefore the function is not differentiable at that point.
Hope this was helpful
Find the value of b, if any, that will make the function differentiable at x = 0
g(x)= { x+b, x<0
cos(x), x≥0
can you help, I got 0 but I don't know if that will make the function differential at x=0.
1 answer