# NCERT Solutions Class 12 Maths Chapter 6 exercise 6.5 Application of Derivatives

NCERT Solutions for Class 12 Maths Chapter 6 exercise 6.5 Application of Derivatives explains the use of derivatives to find the maximum or minimum value of various functions. The theory part of this exercise is quite useful in learning how to sketch the graph of a given function. It involves finding the ‘turning points’ of the graph of a function and thus finding points at which the graph reaches its highest (or lowest) locally. Moreover, students can also learn to find the absolute maximum and absolute minimum of a function that is critical for the solving of many practically applied problems. Notes provided in Class 12 NCERT Solutions Maths Chapter 3 will help students have clarity of all these concepts and theorems.

There are a total of 29 questions provided in this exercise related to finding the maximum and minimum value of functions. Solving the questions incorporated in NCERT Solutions for Class 12 Maths Chapter 6 is adequate to attain a profound understanding of first derivative and second derivative tests applied to find the point of local maxima and minima. These competent resources are pretty reliable in implementing error-free learning of all math concepts. NCERT Solutions Class 12 Maths Chapter 6 Exercise 6.5 is available in a scrollable PDF format given below.

**ā** Download NCERT Solutions Class 12 Maths Chapter 6 Exercise 6.5

**Exercise 6.5 Class 12 Chapter 6 **

### More Exercises in Class 12 Maths Chapter 6

- NCERT Solutions Class 12 Maths Chapter 6 Ex 6.1
- NCERT Solutions Class 12 Maths Chapter 6 Ex 6.2
- NCERT Solutions Class 12 Maths Chapter 6 Ex 6.3
- NCERT Solutions Class 12 Maths Chapter 6 Ex 6.4
- NCERT Solutions Class 12 Maths Chapter 6 Miscellaneous Exercise

## NCERT Solutions Class 12 Maths Chapter 6 Exercise 6.5 Tips

Each and every definition, formula, and method explained in the NCERT Solutions Class 12 Maths Chapter 6 exercise 6.5 is framed in a simple way to deliver deep knowledge of the concepts related to derivative tests. Students must simply follow these step-by-step solutions to understand all the core basics. For instance, the kids can learn the process of using the derivatives of a function to locate the critical points of a function and determine whether each point is a local maximum, a local minimum, or a saddle point. The explanation of derivative tests provided in these solutions can also give information about the concavity of a function. The critical point of a function can be defined as a point ‘c’ in the domain of a function f is said to be the critical point of f if either f ′(c) = 0 or f is not differentiable.

By solving the sums and reading all definitions provided in the Class 12 NCERT Solutions Maths Chapter 6, students will get familiar with the type and pattern of problems asked in exams. The interactive format of the NCERT Solutions for Class 12 Maths Chapter 6 exercise 6.5 is highly prominent in enhancing the fundamental knowledge with ease.

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