## Exam-Style Question on Differentiation## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 66. This question is similar to one that appeared on an IB Standard paper in 2014. The use of a calculator is not allowed.

The following diagram shows part of the graph of \(y=f (x)\)

The graph has a local maximum where \(x=- \frac23\), and a local minimum where \(x=4\).

sketch the graph of \(y=f'(x)\) for \(-4\le x \le 7\)

Write down the following in order from least to greatest: \(f(2),f'(4)\) and \(f''(4)\).

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