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Differentiation — Practice Quiz

ICSE · Class 11 · Mathematics

Try a 4-question quiz on Differentiation for ICSE Class 11 Mathematics: tap an answer to check it and see why. 60 questions in the full chapter test.

60 questions32 flashcards21 formulas & key relations5 concepts

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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.
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Quick Quiz: Differentiation

0/4

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

1

The derivative of f(x) = c (constant) is:

2

d/dx(x⁵) equals:

3

d/dx(sin x) equals:

4

d/dx(cos x) equals:

60 Questions·
multiple choice

Sample Questions

1multiple choice

The first principle of differentiation states that f'(x) equals:

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lim_{h→0} [f(x+h)−f(x)]/h

First principle: f'(x) = lim_{h→0} [f(x+h)−f(x)]/h. This is the definition of derivative.

2multiple choice

The derivative of f(x) = x at x = 1 is:

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1

f'(x) = lim_{h→0} [(x+h)−x]/h = 1. So f'(1) = 1.

3multiple choice

Geometrically, f'(a) represents:

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Slope of tangent to curve y=f(x) at x=a

The derivative f'(a) equals the slope of the tangent line to the curve y = f(x) at (a, f(a)).

4multiple choice

d/dx(tan x) equals:

Show answer

sec²x

Standard result: d/dx(tan x) = sec²x.

+56 more questions on Differentiation (ICSE Class 11 Mathematics)

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Frequently Asked Questions

What are the important topics in Differentiation for ICSE Class 11 Mathematics?
Key topics in Differentiation include Differentiability at a Point, First Principle and Meaning of Derivative, Basic Rules of Differentiation, Standard Derivatives and Special Results. Study these first, then practise questions on each for Class 11 exams.
How many practice questions are there for Differentiation?
There are 60 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.

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