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

Question id: 47. This question is similar to one that appeared on an IB Standard paper in 2014. The use of a calculator is not allowed.

Let \(f(x)=jx^3+jx^2+kx+m\) where \(j, k\) and \(m\) are constants.

(a) Find \(f'(x)\)

(b) If \(f'(x)\ge 0\), show that \(j^2\le 3jk\).

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