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Q1 Find the derivative of x2 – 2 at x = 10. Ans: Our experts will give the answer soon.
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Chapter 13 Limits And Derivatives
This chapter is an introduction for a branch called calculus. Calculus is that branch of mathematics which is associated with the study of change in the value of functions as the points of domain change. This chapter will help us to understand differentiation and integration which we study in next class. Topics of this chapter are limit of function introduced as rate of change of distance function and its geometric meaning, definition of derivative, derivatives of sum, difference product and quotient of functions, derivatives of polynomial and trigonometric functions.
Download pdf of NCERT Solutions for Class Mathematics Chapter 13 Limits And Derivatives
Exercise 2
Popular Questions of Class 11 Mathematics
- Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
- Q:-
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
- Q:-
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
- Q:- Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.
- Q:-
How many terms of G.P. 3, 32, 33, … are needed to give the sum 120?
- Q:-
Find the sum of all numbers between 200 and 400 which are divisible by 7.
- Q:- Write the following sets in roster form:
(i) A = {x: x is an integer and - 3 < x < 7}.
(ii) B = {x: x is a natural number less than 6}.
(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}
(iv) D = {x: x is a prime number which is divisor of 60}.
(v) E = The set of all letters in the word TRIGONOMETRY.
(vi) F = The set of all letters in the word BETTER. - Q:-
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
- Q:-
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
Recently Viewed Questions of Class 11 Mathematics
- Q:-
Find the sum to n terms of the series 52 + 62 + 72 + ... + 202
- Q:-
Find the sum to 20 terms in the geometric progression 0.15, 0.015, 0.0015 …
- Q:-
A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
- Q:-
Show that the products of the corresponding terms of the sequences a,ar,ar2, ...arn-1 and A, AR, AR2, ,,,ARn-1 form a G.P, and find the common ratio.
- Q:-
Which of the following sentences are statements? Give reasons for your answer.
(i) There are 35 days in a month.
(ii) Mathematics is difficult.
(iii) The sum of 5 and 7 is greater than 10.
(iv) The square of a number is an even number.
(v) The sides of a quadrilateral have equal length.
(vi) Answer this question.
(vii) The product of (–1) and 8 is 8.
(viii) The sum of all interior angles of a triangle is 180°.
(ix) Today is a windy day.
(x) All real numbers are complex numbers.
- Q:-
Three coins are tossed. Describe
(i) Two events which are mutually exclusive.
(ii) Three events which are mutually exclusive and exhaustive.
(iii) Two events, which are not mutually exclusive.
(iv) Two events which are mutually exclusive but not exhaustive.
(v) Three events which are mutually exclusive but not exhaustive.
- Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
- Q:-
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
- Q:-
Describe the sample space for the indicated experiment: A coin is tossed three times.
- Q:-
How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?
- NCERT Chapter