# Exam Style Question

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Question id: 83. This question is similar to one that appeared in an IB Studies paper in 2014. The use of a calculator is allowed.

### Differentiation

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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