∫

Calculus Basics

Limits, differentiation, integration, and applications of derivatives

Sample Practice Questions

  1. Evaluate ∫₀¹ x dx.

    • 0
    • 1/4
    • 1/2
    • 1
    Show answer

    Answer: 1/2

  2. What is the limit of (x² - 1)/(x - 1) as x → 1?

    • 0
    • 1
    • 2
    • undefined
    Show answer

    Answer: 2

  3. Differentiate y = x·eˣ.

    • eˣ
    • x·eˣ
    • eˣ(1 + x)
    • eˣ + 1
    Show answer

    Answer: eˣ(1 + x)

  4. What is the derivative of |x| at x = 0?

    • -1
    • 0
    • 1
    • Undefined
    Show answer

    Answer: Undefined

Practise more questions →

Practice Questions

Practise NMO questions on Calculus Basics. Answers are revealed after each question.

Start Practice →

Frequently Asked Questions

What does Calculus Basics cover in the NMO exam?

Limits, differentiation, integration, and applications of derivatives.

How can I practise NMO Calculus Basics questions for free?

Practise free NMO Calculus Basics questions with instant answers and explanations on Safe Learning for Kids — no sign-up required.

All Topics