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.
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ContinuityUnderstand the meaning of function to be 'continuous' and 'discontinuous', combine functions algebraically and study graphs.
Differentiability and Chain RuleRelationship between continuity and differentiability, concept of composite functions and differentiating composite functions using the Chain Rule.
Differentiation: Implicit FunctionsDetermine the derivatives of inverse trigonometric functions and compare implicit and explicit functions.
Differentiation of Exponential FunctionsUnderstand the exponential and logarithmic functions. Co-relate these functions as inverse of each other and hence find their derivatives.
Logarithmic FunctionsLearn the relation between two variables x and y using the third variable as a parameter. Find the derivative of Parametric Functions.
Differentiation of Parametric FunctionsLearn to find out the second order derivatives of the given functions.
Second Order DerivativesLogarithmic Differentiation. Application of base changing formula and differentiating the expressions by using logarithms.
Mean Value TheoremsDiscuss Rolle's Theorem and its geometrical interpretation. Also discuss Lagrange's mean value Theorem and its geometrical interpretation.