Calculus Interview Questions

Calculus fluency - limits, derivatives, integrals, and optimisation - is assumed in quant interviews. These questions sharpen the techniques that show up in modelling problems.

This area covers limits and L'Hôpital's rule, derivatives and integrals, Taylor and Maclaurin series, and optimisation including Lagrange multipliers - the techniques that show up inside probability and modelling problems.

You're rarely asked calculus for its own sake; instead it appears mid-problem, so the goal is to apply it quickly and correctly without breaking your train of thought.

78 calculus questions · 37 free to practise now.

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Frequently asked questions

What calculus shows up in quant interviews?
Derivatives and integrals, limits and L'Hôpital's rule, Taylor and Maclaurin series, and optimisation (including Lagrange multipliers). It often appears while solving a probability or pricing problem rather than on its own.
How rigorous does my calculus need to be?
You need to compute reliably and recognise when to apply a technique. Research roles may push into multivariable calculus and series; trading roles keep it lighter.
What's the fastest way to brush up calculus for interviews?
Drill the common derivatives, integrals, and series until they're automatic, then practise problems where calculus is one step of a larger question - which is how interviews use it.