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Edited By Satyajeet Kumar | Updated on Jan 20, 2022 05:28 PM IST

RD Sharma Class 12th Exercise 10.1 is the most preferred reference material by many CBSE schools as well as the students. The high standard of the solved sums present in this book makes the students understand every concept in-depth. For many years, the questions for the board examinations have been taken from the RD Sharma books. When the students use this book for their practice, they would be exam-ready effortlessly. RD Sharma Solutions

Chapter 10 for class 12 mathematics, Differentiation has 8 exercises in total. The first exercise, ex 10.1 has basic differentiation functions learned in the previous academic year. Using the RD Sharma Class 12th Exercise 10.1 book, the students will be able to solve all the problems easily. The simple tricks and tips to solve the differentiation sums are present in the Class 12th RD Sharma Chapter 10 Exercise 10.1 Solutions material. Concepts like logarithmic differentiation, differentiation of inverse trigonometric functions, and various other differentiating methods are included in this exercise.

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- Chapter 10 -Differentiation - Ex-10.2
- Chapter 10 -Differentiation - Ex-10.3
- Chapter 10 -Differentiation - Ex-10.4
- Chapter 10 -Differentiation - Ex-10.5
- Chapter 10 -Differentiation - Ex-10.6
- Chapter 10 -Differentiation - Ex-10.7
- Chapter 10 -Differentiation - Ex-10.8
- Chapter 10 -Differentiation - Ex-FBQ
- Chapter 10 -Differentiation - Ex-MCQ
- Chapter 10 -Differentiation - Ex-VSA

**Differentiation Excercise: 10.1**

Differentiation exercise 10 .1 question 1

Answer:Hint:

Use the first principle to find the differentiation of

Given:

Solution:

Let

So, we will use formula of differentiation by first principle,

Hence, the differentiation of is

Differentiation exercise 10.1 question 2

Answer:Hint:

Use first principle to find the differentiation of

Given:

Solution:

Let

So, now we will use formula of differentiation by first principle

Multiply and divide by 3

Hence, the differentiation of is .

Differentiation exercise 10.1 question 3

Answer:Hint:

Use first principle to find the differentiation

Given:

Solution:

Let

Now, we will use formula of differentiation by first principle

Multiply and divide by a

Hence, the differentiation of is .

Differentiation exercise 10.1 question 4

Answer:Hint:

Use first principle to find the differentiation

Given:

Solution:

Let

Now, we will use formula of differentiation by first principle

Take common from the numerator

Multiply and divide

Is a function of and limit is applied on variable ‘h’

So, can be taken outside

Multiply the denominator by 2 and divide the denominator by 2

Hence, the differentiation of is

Differentiability exercise 10.1 question 5

Answer:Hint:

Use first principle formula to find the differentiation

Given:

Solution:

Let,

Now, we will use the formula of first principle to find the differentiation

Take 2 common from numerator

Multiply and divide by

Now, is a function of x and unit applied on variable ‘h’. So, can be taken outside became w.r.t variable ‘h’, x will remain constant

Rationalising the numerator

Hence, the differentiation of is

Differentiation exercise 10.1 question 6

Answer:

Hint:

Use first principle formula to find the differentiation

Given:

Solution:

Let,

Now, we will use formula of first principle to find the differentiation

Add and subtract 1 in the argument of log in numerator

Multiply and divide by

Multiply the denominator and divide the denominator by 2

Hence, the differentiation of

Differentiation exercise 10.1 question 7

Answer:Hint:

Use first principle formula to find the differentiation

Given:

Solution:

Let,

Now, we will use the formula of first principle to find the differentiation

Take common from numerator

Is a function of variable x and limit is applied on variable ‘h’

So,

Multiply and divide by

Rationalising the numerator

Hence, the differentiation of is

Differentiation exercise 10.1 question 8

Answer:Hint:

Use first principle formula to find the differentiation

Given:

Solution:

Let,

Now, we will use the formula of first principle

Hence, the differentiation of is

Differentiation exercise 10.1 question 9

**Answer:**

**Hint:**

Use first principle formula to find the differentiation

**Given:**

**Solution:**

Let,

Now, we will use the formula of first principle

Add 1 and subtract 1 from argument of the numerator

Multiply and divide by

Divide and multiply the denominator by (-2)

Hence, the differentiation of

Differentiation exercise 10.1 question 10

Answer:

Hint:

Use first principle formula to find the differentiation

Given:

Solution:

Let,

Now, we will use formula of first principle to find the differentiation

Let,

Multiply and divide by z

Put the value of z now

Multiply and divide by

Hence, the differentiation of Is .

The usage of the RD Sharma Class 12th Exercise 10.1 reference material would be very helpful to learn the concepts from the exam point of view.

The various benefits that the students can acquire by using the RD Sharma books are:

**Work of experts:**

The solved sums present in the RD Sharma Class 12th Exercise 10.1 book are provided by various experts. As the answers are well-discussed and framed by a team of members, these is no chance to find faults in it. therefore, the RD Sharma Class 12th Chapter 10 Exercise 10.1 Solutions are followed by almost every 12th student.

**Multiple methods to solve the sums:**

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Download E-bookThe students refer to many solution books to find the easiest and the right method in which a sum can be solved. This results in buying many reference materials and waste of time in looking for the answers in those. The RD Sharma Class 12th Chapter 10 Exercise 10.1 solutions acts as a one-stop solution.

**Best reference book for the CBSE students:**

As the RD Sharma Class 12 Solutions Differentiation Ex 10.1 follows the NCERT pattern, it gives a solid reason for the CBSE students to use it. Moreover, many CBSE schools also recommend these books for their students.

**Covers all topics:**

All the concepts available in the class 12 textbook are covered in the RD Sharma Class 12th Exercise 10.1 reference material. Separate PDFs for each exercise are also available. The additional questions present in the RD Sharma Class 12 Solutions Chapter 10 Ex 10.1 would be of a great help.

**Increases the benchmark score:**

The students can find the huge difference in the marks that they attain in the exams. It becomes effortless for them to cross their benchmarks scores after using the RD Sharma Class 12 Solutions Differentiation Ex 10.1 for exam preparation.

**Free of cost:**

Even though it is only a single book the students had to buy, even that can be attained free of cost from the Career 360 website. Students need not struggle to attain the RD Sharma Class 12th Exercise 10.1 from this site. They can download it int a single click.

- Chapter 1 - Relations
- Chapter 2 - Functions
- Chapter 3 - Inverse Trigonometric Functions
- Chapter 4 - Algebra of Matrices
- Chapter 5 - Determinants
- Chapter 6 - Adjoint and Inverse of a Matrix
- Chapter 7 - Solution of Simultaneous Linear Equations
- Chapter 8 - Continuity
- Chapter 9 - Differentiability
- Chapter 10 - Differentiation
- Chapter 11 - Higher Order Derivatives
- Chapter 12 - Derivative as a Rate Measurer
- Chapter 13 - Differentials, Errors and Approximations
- Chapter 14 - Mean Value Theorems
- Chapter 15 - Tangents and Normals
- Chapter 16 - Increasing and Decreasing Functions
- Chapter 17 - Maxima and Minima
- Chapter 18 - Indefinite Integrals
- Chapter 19 - Definite Integrals
- Chapter 20 - Areas of Bounded Regions
- Chapter 21 - Differential Equations
- Chapter 22 - Algebra of Vectors
- Chapter 23 - Scalar Or Dot Product
- Chapter 24 - Vector or Cross Product
- Chapter 25 - Scalar Triple Product
- Chapter 26 - Direction Cosines and Direction Ratios
- Chapter 27 - Straight Line in Space
- Chapter 28 - The Plane
- Chapter 29 - Linear programming
- Chapter 30- Probability
- Chapter 31 - Mean and Variance of a Random Variable

1. Does the RD Sharma solution makes the process of exam preparation easier for the class 12 students?

Many students have admitted that the usage of RD Sharma solution books have helped them a lot in preparing for the public exams.

2. Which reference book is the best option for the class 12 students to use for studying?

For mathematics, the RD Sharma Class 12th Exercise 10.1 solution book is the best choice for them to practice and understand differentiation concept

3. Is Differentiation a hard to learn topic?

Differentiation might not be an easy topic for every student to learn. This can be solved by using the RD Sharma solution books for the particular concept.

4. Can the RD Sharma solution books be used only for preparing for exams?

The students can complete their homework by referring to the answers given in the RD Sharma books. They can also use these books to do their assignments.

5. Where can the class 12 students find the RD Sharma books for a minimal cost?

The RD Sharma solutions for the class 12 students can be found at the Career 360 website for free of cost. Therefore, this is the best method to attain the authorized set of these books.

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