CBSE Class 12-science Maths Continuity and Differentiability
Study CBSE Class 12 Science Mathematics Continuity and Differentiability at your own pace with TopperLearning. Include video lessons, tests, textbook solutions and more in your Maths study plan as per your learning convenience. Our study materials will support you in learning concepts such as implicit functions, exponential functions, chain rule etc. Also learn about logarithmic functions by watching our concept videos.
Our academic experts have compiled all the required CBSE Class 12 Science Maths resources in one place so that you do not have to struggle with learning materials. Learning continuity and differentiability from some of the leading Maths experts in the country is possible with our learning resources. You can use these resources of sample papers, textbook solutions and practice tests to study comfortably for your board exams.
Continuity
Understand the meaning of function to be 'continuous' and 'discontinuous', combine functions algebraically and study graphs.Differentiability and Chain Rule
Relationship between continuity and differentiability, concept of composite functions and differentiating composite functions using the Chain Rule.Differentiation: Implicit Functions
Determine the derivatives of inverse trigonometric functions and compare implicit and explicit functions.Differentiation of Exponential Functions
Understand the exponential and logarithmic functions. Co-relate these functions as inverse of each other and hence find their derivatives.Logarithmic Functions
Learn the relation between two variables x and y using the third variable as a parameter. Find the derivative of Parametric Functions.Differentiation of Parametric Functions
Learn to find out the second order derivatives of the given functions.Second Order Derivatives
Logarithmic Differentiation. Application of base changing formula and differentiating the expressions by using logarithms.Mean Value Theorems
Discuss Rolle's Theorem and its geometrical interpretation. Also discuss Lagrange's mean value Theorem and its geometrical interpretation.
