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Important Questions

Differentiation — Important Questions

ICSE · Class 11 · Mathematics

60 important questions from Differentiation for ICSE Class 11 Mathematics, with answers. Includes multiple choice questions.

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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60 Questions·
multiple choice

Important Questions from Differentiation

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:

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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 important questions are there in Differentiation?
Super Tutor has 60 practice questions for Differentiation, including multiple choice questions. A sample with answers is on this page.

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

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All ICSE Class 11 Mathematics Important Questions

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