# 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:-
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:-
For what values of *x,* the numbers are in G.P?

- Q:-
A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.

- Q:-
Find the sum to *n* terms of the series 1 × 2 + 2 × 3 + 3 × 4 + 4 × 5 + …

- Q:-
A man starts repaying a loan as first installment of Rs. 100. If he increases the installment by Rs 5 every month, what amount he will pay in the 30th installment?

- Q:-
Find the sum to *n* terms in the geometric progression x^{3}, x^{5}, x^{7} ... (if x ≠ ±1)

- Q:-
The difference between any two consecutive interior angles of a polygon is 5°. If the smallest angle is 120°, find the number of the sides of the polygon.

- Q:-
Find the sum to *n* terms of the series 5^{2} + 6^{2} + 7^{2} + ... + 20^{2}

- Q:-
The sum of two numbers is 6 times their geometric mean, show that numbers are in the ratio

- Q:-
If the first and the *n*th term of a G.P. are *a* ad *b*, respectively, and if *P* is the product of *n* terms, prove that *P*^{2} = (*ab*)^{n}.