Mathematics & Quantitative Analysis
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Functions, Limits & Differential Calculus
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Analyzing functions is central to the Bocconi UG math section. You must quickly determine function domains, find derivative roots, and solve optimization problems.
Domain Rule: f(x)=\ln(g(x)) \implies g(x)>0
- Rational functions require denominator non-zero: f(x) = \frac{p(x)}{q(x)} \implies q(x) \neq 0.
- Square roots require non-negative radicands: \sqrt{g(x)} \implies g(x) \geq 0.
- Logarithmic functions require strictly positive arguments: \ln(g(x)) \implies g(x) > 0.
- Identify restriction conditions on the function expression.
- Differentiate using chain rule or product rule when necessary.
- Solve f'(x) = 0 for stationary points.
Exam strategy
Focus on understanding underlying concepts — exam questions test application, not memorization.
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