Exam-Style Question on Differentiation
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 83. This question is similar to one that appeared on an IB Studies paper in 2014. The use of a calculator is allowed.
Consider the graph of the function \(f(x)=7-3x^2-x^3\)
(a) Label the local maximum as A on the graph.
(b) Label the local minimum as B on the graph.
(c) Write down the interval where \(f(x)>5\).
(d) Draw the tangent to the curve at \(x=-3\) on the graph.
(e) Write down the equation of the tangent at \(x=-3\).
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If you need more practice try the self-checking interactive exercise called Differentiation.
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