Class 12 Mathematics Chapter 5: Continuity and Differentiability — Important Questions & Mock Tests

Practice Continuity and Differentiability topic-wise important questions, MCQs and 1, 2, 3 and 5 mark questions for CBSE revision.

300 Questions 58 Topics MCQs: 100 1 Mark: 50 2 Mark: 50 3 Mark: 50 5 Mark: 50

Topic-wise important and practice questions

Review question distribution across chapter topics for MCQs, 1 Mark questions, 2 Mark questions, 3 Mark questions, 5 Mark questions.

TopicMCQ1 Mark2 Mark3 Mark5 MarkTotal
Algebra of Continuous Functions 50500 10
Derivative of Inverse Tangent 55000 10
Implicit Differentiation 55000 10
Parametric Differentiation 05500 10
Assertion-Reason on Continuity and Differentiability 50000 5
Chain Rule 05000 5
Chain Rule for a Two-Layer Composite Function 00500 5
Chain Rule for Composite Functions 50000 5
Combined Product Rule and Chain Rule 00005 5
Complete Continuity Analysis of a Three-Branch Piecewise Function 00005 5
Composite Differentiation with Logarithmic and Exponential Functions 00005 5
Comprehensive Graph-Based Continuity and Differentiability 00005 5
Continuity and Differentiability at a Piecewise Join 00005 5
Continuity and Differentiability of a Piecewise Function 00050 5
Continuity at Two Joining Points 00050 5
Continuity of a Piecewise Function with a Parameter 50000 5
Continuity of a Piecewise Linear Function 00500 5
Continuity of a Polynomial Function at a Point 05000 5
Continuity of Rational Functions 50000 5
Continuity of Rational Functions on Their Domain 05000 5
Continuity Without Differentiability 00500 5
Definition of Continuity at a Point 50000 5
Derivative of a Logarithmic Composite Function 00050 5
Derivative of an Inverse Trigonometric Composite Function 00050 5
Derivative of Exponential Functions 50000 5
Derivative of Functions in Parametric Form 50000 5
Derivative of Inverse Cosine 50000 5
Derivative of Inverse Sine 50000 5
Derivative of Logarithmic Functions 50000 5
Derivatives of Exponential and Logarithmic Functions 05000 5
Differentiability Implies Continuity 50000 5
Differentiability Versus Continuity 00005 5
Discontinuity of the Greatest Integer Function 50000 5
First and Second Derivatives in Parametric Form 00005 5
First and Second Derivatives of an Implicit Function 00005 5
Graph Interpretation of Continuity and Differentiability 05000 5
Graph-Based Continuity and Differentiability Analysis 00500 5
Greatest Integer Function at an Integer 00500 5
Higher-Order Graph Interpretation of Continuity and Differentiability 00050 5
Implicit Differentiation and Evaluation at a Point 00050 5
Implicit Differentiation with a Trigonometric Function 00500 5
Left and Right Derivatives of a Modulus Function 05000 5
Logarithmic Differentiation of a Product and Quotient 00050 5
Logarithmic Differentiation of a Variable Exponent 00005 5
Logarithmic Differentiation of u(x)^v(x) 00500 5
Logarithmic Differentiation of Variable Powers 50000 5
One-Sided Derivatives and Non-Differentiability at a Corner 50000 5
Parameter for Continuity of a Piecewise Function 05000 5
Parametric Derivative and Slope at a Parameter Value 00050 5
Proof that Differentiability Implies Continuity 00050 5
Second Order Derivative 00500 5
Second Order Derivative Identity for Exponential Functions 00050 5
Second Order Derivative of an Exponential Function 50000 5
Second Order Differential Identity from Exponential Terms 00005 5
Graphical Test for Differentiability at a Corner 30000 3
Interpreting One-Sided Limits from a Piecewise Graph 30000 3
Graphical Discontinuity of a Step Function 20000 2
Reading a Limit from a Graph 20000 2