Estimate derivatives with central differences - exam scenario
Confirm the modelling meaning first. A coastal council model has \(f(x+0.7)=17\) and \(f(x-0.7)=12\). Estimate \(f'(x)\) using a central difference. Enter the requested value and choose the interpretation that matches the result.
Worked practice: result and interpretation
Calculate the requested result first, then choose the interpretation that follows from it.
Write a full answer
Now write the response in full, in your own words — this is what the exam asks for. The AI marks it on the same moves you built above (focus, evidence, technique, judgement) and gives feedback on reasoning, evidence, and expression.