Class 12 CBSE Maths Syllabus
Chapter 1: Relations and Functions
Chapter 2: Inverse Trigonometric Functions
Chapter 3: Matrices
Chapter 4: Determinants
Chapter 5: Continuity and Differentiability
Chapter 6: Applications of Derivatives
Chapter 7: Integrals
Chapter 8: Applications of Integrals
Chapter 9: Differential Equations
Chapter 10: Vector Algebra
Chapter 11:3D Geometry
Chapter 12: Linear Programming
Chapter 13: Probability
Chapter 1: Relations and Functions
Chapter 2: Inverse Trigonometric Functions
Chapter 3: Matrices
Chapter 4: Determinants
Chapter 5: Continuity and Differentiability
Chapter 6: Applications of Derivatives
Chapter 7: Integrals
Chapter 8: Applications of Integrals
Chapter 9: Differential Equations
Chapter 10: Vector Algebra
Chapter 11:3D Geometry
Chapter 12: Linear Programming
Chapter 13: Probability
Introduction
- Application of Derivatives is widely used in engineering, science, economics, and social science, among other fields.
- One of the most important applications of derivatives is to find the best solution to problems. For example, finding the equations of tangent and normal to a curve at a point, or turning points on a function’s graph, will help us locate points where the largest or smallest value (locally) of a function occurs.
- Derivatives can also be used to calculate the intervals at which a function increases or decreases. Finally, it is useful to determine the approximate value of specific quantities.
- The derivatives are used to compute the rate of change, intervals of increasing or decreasing functions, the point at which the tangent is parallel or perpendicular, the approximate value of numbers, and so on.
- The first derivative test is used to find the extremum point of functions by analysing their first derivatives.
- The Second Order Derivative is the derivative of the given function’s first derivative.
- A derivative test in calculus uses a function’s derivatives to locate the critical points of a function and determine whether each point is a local maximum, a local minimum, or a saddle point. Derivative tests can also provide information about a function’s concavity.
Exercises
Exercise 6.1
Exercise 6.2
Exercise 6.3
Exercise 6.4
Exercise 6.5
Miscellaneous Exercise 6
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Keep it up sir
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