# NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.4

NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.4 (Class 12 Ex. 5.4) free to download or use online in Hindi Medium as well as English Medium. These NCERT sols are useful for all the students studying in CBSE Board, Uttarakhand, Bihar and UP Board, who are following the latest NCERT Books for new session 2020-21. Uttar Pradesh Board, Prayagraj also implented NCERT Books for Maths in intermediate, so class 12 students can download UP Board solution of Math in Hindi Medium. Videos related to Exercise 5.4 of 12th Maths is also given separately in Hindi and English Medium just below the PDF solutions.

All the questions are described properly in simple language so that students do not face any difficulty to understand. Discussion forum is based on knowledge sharing platform. Here you can ask questions as well as reply to the questions asked by other also.

## NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.4

 Class: 12 Maths (English and Hindi Medium) Chapter 5: Exercise 5.4

### 12th Maths Exercise 5.4 Solutions

12 Maths Chapter 5 Exercise 5.4 solutions in English & Hindi medium is given below for new academic session 2020-2021. In this exercise, we have learned about the derivatives of exponential and logarithm functions. इससे पहले हम बहुपद फलन, त्रिकोणमितीय फलन तथा परिमेय फलन आदि के अवकलज प्राप्त करना सीखा है। इस प्रशनावली में चरघातांकी तथा लघुगुणकीय फलनों के अवकलज ज्ञात करना सींखेंगे। Ask your query related to NCERT Solutions, Offline Apps, NCERT Books, CBSE or NIOS board, etc., through discussion forum.

#### Class 12 Math Ex. 5.4 Question 1 to 5 Solutions in English Video

Class 12 Math Ex. 5.4 Question 1, 2 Solution in English
Class 12 Math Ex. 5.4 Question 3, 4, 5 Solution in English

#### Class 12 Math Ex. 5.4 Question 6 to 10 Solutions in English Video

Class 12 Math Ex. 5.4 Question 6, 7, 8 Solution in English
Class 12 Math Ex. 5.4 Question 9, 10 Solution in English

#### Class 12 Math Ex. 5.4 Question 1 to 6 Solutions in Hindi Video

Class 12 Math Ex. 5.4 Question 1, 2, 3 Solution in Hindi
Class 12 Math Ex. 5.4 Question 4, 5, 6 Solution in Hindi

#### Class 12 Math Ex. 5.4 Question 7 to 10 Solutions in Hindi Video

Class 12 Math Ex. 5.4 Question 7, 8, 9 Solution in Hindi
Class 12 Math Ex. 5.4 Question 10 Solution in Hindi

#### About 12 Maths Exercise 5.4

So far we have done the derivatives polynomials, rational numbers, trigonometric functions and tested the differentiability of modulus function, greatest integer function, etc. Now we have to deal with exponential and logarithm functions. So, we must know about the properties of log, which will be very useful for 12th Maths Exercise 5.5.
If any function is given as the sum of two exponential function, we can’t take log directly (This is the common mistake done by most of the students). We should differentiate the two functions separately and combine them to get the final answer.

##### Properties of log functions

1. log ab = log a = log b
2. log a/b = log a – log b
3. lag a^b = b log a
log function में योग का कोई नियम नहीं होता है। अर्थात log (a + b) ≠ log a + log b, इसलिए यदि कोई फलन, दो चरघातांकी फलनों के योग के रूप में है तो उन्हें अलग – अलग किसी चर में मान कर उसका अवकलज करें और फिर दोनों हलों को जोड़ दें।    