Application of derivatives miscellaneous exercise

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NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives: Students preparing for Class 12 board exams and JEE (Main and Advanced) must finish the NCERT Maths textbooks thoroughly. You must understand the theory behind every concept and then solve the questions at the end of every chapter. Once you have finished the entire syllabus and are revising. you must go through the solutions of every question. In this article, we will provide you with NCERT Solutions for Class 12 Maths Chapter 6 – Applications of Derivatives. Class 12 Maths Chapter 6 NCERT Solutions– Applications of Derivatives The topics and sub-topics included in the Applications of Derivatives chapter are the following: Section Name Topic Name 6 Applications of Derivatives 6.1 Introduction 6.2 Rate of Change of Quantities 6.3 Increasing and Decreasing Functions 6.4 Tangents and Normals 6.5 Approximations 6.6 Maxima and Minima 6.7 Maximum and Minimum Values of a Function in a Closed Interval 6.8 Summary NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives Hindi Medium Ex 6.1

NCERT Solutions Class 12 Maths Chapter 6 Application of Derivatives NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives explains the fundamental concepts and Application of Derivatives in different disciplines. The Application of Derivatives is widely found in the field of engineering, science, economics, social science, etc. When it comes to studying the various aspects of physics or engineering even the slightest miscalculation can result in huge errors. Thus, it is highly important for kids to form a firm base to apply the knowledge of derivatives and related concepts in real life. In this chapter, we will learn how the derivative can be used to determine the rate of change of quantities. It also talks about how derivatives are applied to find extreme values of functions, to determine and analyze the shapes of graphs, and to solve equations numerically. One of the most important Application of Derivatives is to find the optimal solution to problems. For example, to find the equations of tangent and normal to a curve at a point or to find turning points on the graph of a function which in turn will help us to locate points at which the largest or smallest value (locally) of a function occurs. Derivatives are also useful in calculating the intervals on which a function is increasing or decreasing. Lastly, it is also helpful to find the approximate value of specific quantities. NCERT Solutions Class 12 Maths Chapter 6 enhances the fundamental understand...

NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives NCERT Solutions for Class 12 Maths Chapter 6 – Free PDF Download The NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives provides answers for all the questions listed under this chapter which is included in the Class 12 Maths CBSE Syllabus for 2023-24. These NCERT Solutions include a complete set of questions and answers organised with an advanced level of difficulty, which provides students with sufficient opportunity to apply their skills. Students can download these Further, students can clarify their doubts while solving problems at any time by simply downloading the PDF version of the NCERT Solutions for Class 12 Maths. Clarify doubts instantly by downloading the Access Answers to NCERT Class 12 Maths Chapter 6 Application of Derivatives

Question 1. If the function f(x) = ax 3 + bx 2 + 11x – 6 satisfies conditions of Rolle’s theorem in [1, 3] and f'(2 + \(\frac\), for every real x, then the minimum value of f is (a) 1 (b) 0 (c) -1 (d) 2 Answer: (c) -1 Question 3. A ladder 5 m in length is resting against a vertical wall. The bottom of the ladder is pulled along the ground away from the wall at the rate of 1.5 m/sec. The length of the higher point of the ladder when the foot of the ladder is 4.0 m away from the wall decreases at the rate of (a) 1 (b) 2 (c) 2.5 (d) 3 Answer: (b) 2 Question 4. Let f(x) and g(x) be differentiable for 0 < x < 1 such that f(0) = 0, g(0) = 0, f(1) = 6. Let there exist a real number c in (0, 1) such that f'(c) = 2g'(c), then the value of g(1) must be (a) 1 (b) 3 (c) 2.5 (d) -1 Answer: (b) 3 Hint: f(x) and g(x) both satisfies the conditions of LMVT in (0, 1). ∴ f'(c) = \(\frac\) and 1 respectively. Categories Post navigation

Expert Teachers at KSEEBSolutions.com has created Karnataka 2nd PUC Maths Question Bank with Answers Solutions, Notes, Guide Pdf Free Download of 2nd PUC Maths Textbook Questions and Answers, Model Question Papers with Answers, Study Material 2020-21 in English Medium and Kannada Medium are part of Students can also read Karnataka 2nd PUC Maths Question Bank with Answers 2nd PUC Maths Question Bank Chapter 1 Relations and Functions • • • • • 2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions • • • 2nd PUC Maths Question Bank Chapter 3 Matrices • • • • • 2nd PUC Maths Question Bank Chapter 4 Determinants • • • • • • • 2nd PUC Maths Question Bank Chapter 5 Continuity and Differentiability • • • • • • • • • 2nd PUC Maths Question Bank Chapter 6 Application of Derivatives • • • • • • 2nd PUC Maths Question Bank Chapter 7 Integrals • • • • • • • • • • • • 2nd PUC Maths Question Bank Chapter 8 Application of Integrals • • • 2nd PUC Maths Question Bank Chapter 9 Differential Equations • • • • • • • 2nd PUC Maths Question Bank Chapter 10 Vector Algebra • • • • • 2nd PUC Maths Question Bank Chapter 11 Three Dimensional Geometry • • • • 2nd PUC Maths Question Bank Chapter 12 Linear Programming • • • 2nd PUC Maths Question Bank Chapter 13 Probability • • • • • • Karnataka 2nd PUC Maths Question Bank with Answers • • • • • • • • • • • • • Karnataka 2nd PUC Maths Blue Print of Model Question Paper 2nd PUC Maths Design of the Question Paper MATHEMATICS (35) CLASS : II...

Students can Download Maths Chapter 6 Application of Derivatives Miscellaneous Exercise Questions and Answers, Notes Pdf, Karnataka 2nd PUC Maths Question Bank Chapter 6 Application of Derivatives Miscellaneous Exercise Question 1. Using differentials, find the approximate value of each of the following (a) \(\left(\frac\right.\) (KPUC 2008) Answer: Categories Post navigation