Skip to main content
Super TutorResources
Chapter 12 of 13
Practice Quiz

Applications of Derivatives - I — Practice Quiz

ICSE · Class 12 · Mathematics

Try a 4-question quiz on Applications of Derivatives - I for ICSE Class 12 Mathematics: tap an answer to check it and see why.

55 questions37 flashcards23 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Applications of Derivatives - I? 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 graph of a function y=f(x) with a tangent line at a point (x, y), illustrating dy/dx as the slope of the tangent.
Super Tutor

Learn better with visuals Super Tutor pairs illustrations like this with notes and quizzes for Applications of Derivatives - I.

Quick Quiz: Applications of Derivatives - I

0/4

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

1

dy/dx represents the:

2

The side of a square is increasing at 2 cm/s. The rate of increase of area when side = 4 cm is:

3

If A = πr², then dA/dt equals:

4

If V = (4/3)πr³ (sphere), then dV/dr equals:

55 Questions·
multiple choicetrue false

Sample Questions

1multiple choice

The approximate change in y = f(x) for a small change Δx in x is:

Show answer

f'(x)·Δx

Δy ≈ dy = f'(x)·Δx. The differential dy is the approximate change in y.

2multiple choice

For f(x) = √x and x = 25, Δx = 0.5, the approximate value of √25.5 is:

Show answer

5.05

f(x)=√x, f'(x)=1/(2√x)=0.1 at x=25. f(25.5)≈5+0.1×0.5=5+0.05=5.05.

3multiple choice

A function f is strictly increasing on interval I if:

Show answer

x₁ < x₂ ⟹ f(x₁) < f(x₂) for all x₁,x₂ ∈ I

Strictly increasing means a larger x always gives a strictly larger f(x).

4multiple choice

If f'(x) < 0 for all x ∈ (a,b), then f is:

Show answer

Strictly decreasing on (a,b)

f'(x) < 0 means the function is falling — it is strictly decreasing.

+51 more questions on Applications of Derivatives - I (ICSE Class 12 Mathematics)

Practise All

Frequently Asked Questions

What are the important topics in Applications of Derivatives - I for ICSE Class 12 Mathematics?
Key topics in Applications of Derivatives - I include Rate of Change and Differentials, Approximation by Differentials, Increasing and Decreasing Functions, Tangent and Normal to a Curve. Study these first, then practise questions on each for the ICSE Class 12 board exam.
How many practice questions are there for Applications of Derivatives - I?
There are 55 questions on Applications of Derivatives - I. 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 Applications of Derivatives - I

All ICSE Class 12 Mathematics Practice Quiz

For serious students

Get the full Applications of Derivatives - I 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