NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.6 Continuity and Differentiability - PDF Download

NCERT solutions for class 12 maths chapter 5 exercise 5.6 Continuity and Differentiability, provides a thorough understanding of the applications and finding derivatives of functions in parametric forms. We must apply the chain rule in order to determine the derivative of a parametric function. This exercise uses a lot of examples and questions to implement the comprehension of concepts. You can find precise and detailed knowledge of this topic by solving NCERT solutions of ex 5.6 class 12 maths. These solutions are prepared by experienced teachers of eSaral for students to score good marks in board exams.

Ex 5.6 class 12 maths chapter 6 has a total of 11 questions based on finding derivatives of functions in parametric forms. The structure of class 12 maths chapter 5 exercise 5.6 NCERT solutions are great resources, in order to give students a thorough understanding of the parametric form of functions and their derivatives. You will get error-free learning by solving questions in NCERT solutions to achieve a high score in exams.

Ex 5.6 class 12 maths solutions are provided in PDF format on eSaral to make your learning simple. You must download the free PDF of NCERT solutions class 12 maths chapter 5 ex 5.6 from the official website of eSaral. This will help you to practice questions of ex 5.6 without confusion. Here, we have provided the link below to download PDF of ex 5.6 class 12 maths. 

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Topics Covered in Exercise 5.6 Class 12 Mathematics Questions

Ex 5.6 class 12 maths ch 5 covers the topic of derivatives of functions in parametric forms. Our subject experts of eSaral have provided a precise explanation of this topic below.

1. Derivatives of Functions in Parametric Forms

Sometimes there is no clear or implicit relationship between two variables, but there is a link between a third variable and each of the first two variables independently, which establishes a relationship between the first two variables. When this occurs, we say that a third variable expresses the relationship between them. The third variable is called the parameter. 

A relation expressed between two variables x and y in the form x = f(t), y = g (t) is said to be a parametric form with t as a parameter.

We have the chain rule to get the derivative of a function in such a form.

$\frac{d y}{d t}=\frac{d y}{d x} \cdot \frac{d x}{d t}$

Or $\frac{d y}{d x}=\frac{\frac{d y}{d t}}{\frac{d x}{d t}}\left(\right.$ whenever $\left.\frac{d x}{d t} \neq 0\right)$

Thus $\frac{d y}{d x}=\frac{g^{\prime}(t)}{f^{\prime}(t)}\left(\right.$ as $\frac{d y}{d t}=g^{\prime}(t)$ and $\left.\frac{d x}{d t}=f^{\prime}(t)\right)\left[\right.$ provided $\left.f^{\prime}(t) \neq 0\right]$

Tips for Solving Exercise 5.6 Class 12 Chapter 5 Continuity and Differentiability

eSaral’s expert teachers of mathematics have provided some essential tips and tricks to solve questions of exercise 5.6 class 12 maths chapter 5.

1. Practicing with NCERT solutions will enable students to have a deep understanding of complex concepts easily. 
2. Students must understand the derivatives of functions in parametric forms before solving ex 5.6.
3. Students should answer challenging questions more than once in order to improve their learning. Additionally, the repeated practice guarantees conceptual fluency for learning different applications.

Importance of Solving Ex 5.6 Class 12 Maths Chapter 5 Continuity and Differentiability

You will get a lot of benefits of solving ex 5.6 class 12 maths chapter 5 Continuity and Differentiability. Here, we have provided some of the benefits which can be found below.

1. NCERT solutions for class 12 maths chapter 5 exercise 5.6 are beneficial  for learning differentiation of functions in parametric function.
2. Solving all the questions of ex 5.6 class 12 maths by themselves will aid students in self-improvement. 
3. Students can use the NCERT solutions for class 12 maths chapter 5 exercise 5.6 to apply their strategic studies because these concepts are very important in strengthening the core concepts of exercise 5.6. 
4. NCERT solution PDF will help you to cross check your answers that will help you to solve questions in final exam. 
   

Frequently Asked Questions

Question 1. What are parametric functions?

A relation expressed between two variables x and y in the form x = f(t), y = g (t) is said to be a parametric form with t as a parameter.

Question 2. Is exercise 5.6 class 12 maths chapter 5 tough?

No, exercise 5.6 class 12 maths chapter 5 is not tough. If you understand the concepts of exercise 5.6 effectively and learn the process of solving derivatives of functions in parametric forms then you will be able to solve ex 5.6 questions easily. eSaral has provided all the solutions in NCERT PDFs for your convenience. You can download the PDF from eSaral’s official website to practice questions.