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.
47 calculus questions · 7 free to practise now.
- A limit by L'HôpitalEasyCalculusView →
- Derivative of ln(ln x) at x = eEasyCalculusView →
- Limit of (1 + 1/n)^nEasyCalculusView →
- Limit of sin x over xEasyCalculusView →
- Normalizing a linear densityEasyRandom VariablesCalculusView →
- Partial derivative at a pointEasyCalculusView →
- Sum of geometric series (ratio 1/3)EasyCalculusView →
- Arc-length integral formulaMediumCalculus Premium
- Classify critical points of x^3 - 3xMediumCalculus Premium
- Convergence of the integral of x^(-p)MediumCalculus Premium
- Definite integral of x e^x on [0,1]MediumCalculus Premium
- Density of a uniform squaredMediumRandom VariablesCalculus Premium
- Derivative of xˣMediumCalculus Premium
- Direction of fastest increaseMediumLinear AlgebraCalculus Premium
- Double integral of x + y over the unit squareMediumCalculus Premium
- E[X | X > 0] for a standard normalMediumStatisticsCalculus Premium
- Implicit differentiation on a circleMediumCalculus Premium
- Integral by substitution: 2x e^(x^2)MediumCalculus Premium
- Integral of ln xMediumCalculus Premium
- Limit of x ln x as x to 0+MediumCalculus Premium
- Limit of x^100 over e^xMediumCalculus Premium
- MGF of an exponentialMediumRandom VariablesCalculus Premium
- Maximize xyz on a planeMediumCalculus Premium
- Maximum of x^(1/x)MediumCalculus Premium
- Mean value theorem for x^2MediumCalculus Premium
- One step of Newton's methodMediumCalculus Premium
- Particular solution of an ODEMediumCalculus Premium
- The Gaussian integralMediumCalculus Premium
- Two uniforms summing past 1.5MediumProbabilityCalculus Premium
- Within distance d on the unit intervalMediumProbabilityCalculus Premium
- x^4 coefficient of the Maclaurin series of e^xMediumCalculus Premium
- A divergent reciprocal expectationHardRandom VariablesCalculus Premium
- Balloon related ratesHardCalculus Premium
- Buffon's needleHardProbabilityCalculus Premium
- Floating-point summation errorHardCalculusProgramming & DSA Premium
- Itô drift of W squaredHardCalculusStochastic Processes Premium
- Leibniz rule derivative at x = 1HardCalculus Premium
- Max rectangle under a parabolaHardCalculus Premium
- Maximize x + y on the unit circleHardLinear AlgebraCalculus Premium
- Newton's method convergenceHardCalculusProgramming & DSA Premium
- Quadratic variation of Brownian motionHardCalculusStochastic Processes Premium
- Sum of the alternating harmonic seriesHardCalculus Premium
- The snow plowHardCalculus Premium
- Triangle from three independent sticksHardProbabilityCalculus Premium
- Value of iⁱHardCalculus Premium
- Value of the Basel sumHardCalculus Premium
- Volume of revolution of sqrt(x)HardCalculus Premium
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