No, the function has a sharp turn on the first quadrant so it is not differentiable.Yellow
What is a continuous function curve?
A continuous function curve has no breaks, holes, or jumps. It is a smooth, connected line without interruptions, indicating a continuous relationship between input and output values.
From the given curve
The curve is not connected in its entire curve. it has sharp turn in the first quadrant which represents sudden jump along its curve.
Therefore, the function is discontinuous.
This implies that
lim => a f(x) = lim => a f(x) ≠ f(a)
A discontinuous function is not differentiable.
Therefore, no, the function has a sharp turn on the first quadrant so it is not differentiable. Yellow