# NCERT Solutions Class 11 Maths Chapter 13 Exercise 13.2 Limits and Derivatives

NCERT solutions for class 11 maths chapter 13 exercise 13.2 now shifts the focus to derivatives and other associated concepts. There are several real-life applications of this topic such as people maintaining a reservoir need to know when will a reservoir overflow by knowing the depth of the water at several instances of time, or financial institutions need to predict the changes in the value of a particular stock by knowing its present value. In all cases, we need to know how a particular parameter is changing with respect to some other parameter. This is where a derivative comes into play. The entire exercise is solely focused on helping kids get a good understanding of how to find the derivatives of different types of functions such as polynomials. NCERT solutions class 11 maths chapter 13 exercise 13.2 has 11 questions based on derivatives and their algebra.

The point to keep in mind when attempting the sums of this exercise is to always check the result by applying simple tricks given in the class 11 maths NCERT solutions chapter 13 exercise 13.2 limits and derivatives. Making a formula chart and regularly practicing it will give students clarity of concepts. Given below is the PDF link to the solutions.

**ā** Download NCERT Solutions Class 11 Maths Chapter 13 Exercise 13.2

**Exercise 13.2 Class 11 Chapter 13 **

### More Exercises in Class 11 Maths Chapter 13

- NCERT Solutions Class 11 Maths Chapter 13 Ex 13.1
- NCERT Solutions Class 11 Maths Chapter 13 Miscellaneous Exercise

## NCERT Solutions Class 11 Maths Chapter 13 Exercise 13.2 Formulas

NCERT solutions class 11 maths chapter 13 exercise 13.2 limits and derivatives have certain formulas that will be used heavily in all chapters falling under the scope of Calculus.

- d/dx [f(x) + g (x)] = d/dx [f(x)] + d/dx [g(x)]. The derivative of sum of two functions is sum of the derivatives of the functions.
- d/dx [f(x) - g (x)] = d/dx [f(x)] - d/dx [g(x)]. The derivative of difference of two functions is difference of the derivatives of the functions.
- d/dx [f(x) * g (x)] = d/dx [f(x)]*[g(x)] + [f(x)]*d/dx [g(x)]. The derivative of product of two functions is given by the following product rule.
- d/dx [f(x) / g (x)] = {d/dx [f(x)]*[g(x)] - [f(x)]*d/dx [g(x)]} / g(x)
^{2}. Derivative of quotient of two functions is given by the following quotient rule (whenever the denominator is non–zero).

NCERT solutions class 11 maths chapter 13 exercise 13.2 also consists of the proofs of several theorems that are based on the basic algebraic operations of derivatives. It is a good stepping stone for lessons encountered in the future.

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