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.
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Exercise 2
Popular Questions of Class 11 Mathematics
Recently Viewed Questions of Class 11 Mathematics
- Q:-
A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
- Q:- Find the sum to n terms of the A.P., whose kth term is 5k + 1.
- Q:-
The numbers 1, 2, 3 and 4 are written separately on four slips of paper. The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.
- Q:- Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
- Q:-
Find the derivative of x at x = 1.
- Q:-
Given a G.P. with a = 729 and 7th term 64, determine S7.
- Q:- Write the following sets in the set-builder form:
(i) (3, 6, 9, 12)
(ii) {2, 4, 8, 16, 32}
(iii) {5, 25, 125, 625}
(iv) {2, 4, 6 upto infinity}
(v) {1, 4, 9, upto 100}
- Q:-
The sum of first three terms of a G.P. is
and their product is 1. Find the common ratio and the terms.
- Q:-
An experiment consists of rolling a die and then tossing a coin once if the number on the die is even. If the number on the die is odd, the coin is tossed twice. Write the sample space for this experiment.