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Questo esame si sostiene in inglese: le lezioni e le domande sono in inglese. L'interfaccia resta in italiano.
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Key formulas
Power Rule
Multiply by the exponent, then reduce the exponent by 1.
Chain Rule
Derivative of the outer function (at the inner) times derivative of the inner.
Log Derivative
Derivative of the inside, divided by the inside.
2nd Derivative Test
Negative curvature = peak. Positive curvature = trough.
Price Elasticity of Demand
Percentage change in quantity demanded per 1% change in price.
Part 1 of 4
You are applying to one of Italy's best Finance and Economics master's programmes. The background test just wants to know you can think quantitatively. Let's make derivatives fast.
Six rules. Know them without thinking:
If these aren't fast yet, write them out ten times. Seriously.
Worked example
f(x) = x³ → f'(x) = 3x². f(x) = e^(2x) → f'(x) = 2e^(2x) by chain rule. f(x) = ln(x²) → f'(x) = 2x/x² = 2/x by the log rule.
Study assistant
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Why is this the correct answer?
Eliminate any option that contradicts something stated directly in the lesson, then check which one actually follows from the rule you just learned. Tell me which option confused you and I'll point to the exact line.
Exam strategy
If you can explain why the wrong answers are wrong, you know the topic. Remembering the right one only gets you halfway.
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