Skip to main content
Super TutorResources
Chapter 9 of 13
Practice Quiz

Differentiation — Practice Quiz

ICSE · Class 12 · Mathematics

Try a 4-question quiz on Differentiation for ICSE Class 12 Mathematics: tap an answer to check it and see why. 103 questions in the full chapter test.

103 questions34 flashcards20 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Differentiation? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.

Try Super Tutor — Free

Free trial, no card needed.

A flowchart or diagram explaining the step-by-step application of the chain rule for differentiating composite functions.
Super Tutor

One of 6 illustrations for Differentiation in Super Tutor — alongside flashcards, concept maps and practice questions.

Quick Quiz: Differentiation

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

If y = (log x)^(cos x), then dy/dx equals:

2

If x = a(cos θ + θ sin θ) and y = a(sin θ - θ cos θ), then d²y/dx² equals:

3

If y = sin⁻¹(2x√(1-x²)) for -1/√2 < x < 1/√2, then dy/dx equals:

4

If x^m · y^n = (x + y)^(m+n), then dy/dx equals:

103 Questions·
MCQmultiple choice

Sample Questions

1MCQ

d/dx(xⁿ) =

Show answer

C

Power rule: d/dx(xⁿ) = nxⁿ⁻¹. Example: d/dx(x⁵) = 5x⁴.

2MCQ

d/dx(eˣ) =

Show answer

C

d/dx(eˣ) = eˣ. The exponential function eˣ is its own derivative — unique property.

3MCQ

d/dx(sin x) =

Show answer

B

d/dx(sin x) = cos x. (Mnemonic: S→C→−S→−C→S cycle.)

4MCQ

d/dx(cos x) =

Show answer

B

d/dx(cos x) = −sin x. Note the negative sign.

+99 more questions on Differentiation (ICSE Class 12 Mathematics)

Practise All

Frequently Asked Questions

What are the important topics in Differentiation for ICSE Class 12 Mathematics?
Key topics in Differentiation include Core idea of derivative and first principle, Basic derivative rules and standard formulas, Implicit differentiation and related working rule, Second order derivatives. Study these first, then practise questions on each for the ICSE Class 12 board exam.
How many practice questions are there for Differentiation?
There are 103 questions on Differentiation. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Differentiation

All ICSE Class 12 Mathematics Practice Quiz

For serious students

Get the full Differentiation chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 12 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free