Level 3 Differentiation Walkthrough
Question 3(b)
2022 Paper - Reading differentiability and limits from a graph
Question
The graph below shows the function \(y=f(x)\).
\[
\text{(i) Find the value(s) of } x \text{ where } f(x) \text{ is not differentiable.}
\]
\[
\text{(ii) Find the value(s) of } x \text{ for which } f'(x)=0.
\]
\[
\text{(iii) What is the value of } \lim_{x\to -4} f(x)\text{?}
\]
Try the question yourself first. If you get stuck, open the hints before using the full walkthrough.
Step 1
Where is the graph not differentiable?
Look for holes, sharp corners, or jumps.