🧮 Mathematics

    Limits & Derivatives Questions

    Practise limits & derivatives for Class 11-12 with timed rounds, instant feedback and difficulty that adapts as you play.

    1

    Class levels covered

    Fresh questions each round

    Mathematics

    What is limits & derivatives?

    Limits describe what a function approaches, and derivatives measure instantaneous rate of change.

    Why it matters

    This is the gateway to all of calculus — motion, optimisation and curve sketching depend on it.

    Key concepts you will practise

    • Evaluating limits, including 0/0 forms
    • Standard limits for trigonometric and exponential functions
    • Derivative from first principles
    • Product, quotient and chain rules

    Tips that save marks

    • Factorise or rationalise before substituting when you hit 0/0.
    • Name the outer and inner function explicitly before using the chain rule.

    Question bank by class level

    • Class 11-12 · Senior secondaryGenerated each round

    Start practising Limits & Derivatives

    Frequently asked questions

    Does a limit existing mean the function is defined there?

    No — a limit can exist at a point where the function itself is undefined.

    What does the derivative represent geometrically?

    The slope of the tangent to the curve at that point.

    More maths topics