NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.5

NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.5 differentiation sols in English and Hindi Medium to study online as well as download to study offline for academic session 2021-22. These Solutions are useful for UP Board Students also. This exercise is focused on the questions containing multiple functions in product or division form or in the form where the power of the variable is also a variable. Download NCERT Books for offline study based on new CBSE Syllabus.

About 12 Maths Exercise 5.5

This exercise is based on application of log on functions using properties. In Exercise 5.5 Question number 1, 3, 5 and 15 can be done directly using product rule, quotient rule and chain rule, but log properties make easier as compared to direct method. Rest questions required logarithm to simplify and them solve by simple differentiation.
There is another method also to solve these questions. As we know that e^(log x) = x, so we can suppose the function (let function is x^log x) as the power of e [e^{log (x^log x)} using log properties. Now we can differentiate this function directly without any difficulty. This method is not given in NCERT, so use it for Entrance Exams.

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NCERT Solutions 2021-2022 are updated for new academic session 2021-22 based on latest CBSE Syllabus and following the new NCERT Books. Please give your feedback to improve the website. Discussion Forum is being maintained to discuss the questions asked by users of NIOS board as well as CBSE board.