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Continuity And Differentiability — Study Plan

MHT-CET · Mathematics

Step-by-step Continuity And Differentiability study plan for MHT-CET Mathematics 2026 — structured month-wise approach to mastering this chapter.

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A graph of a continuous function at a specific point, showing the limit approaching the function value, illustrating that the function is unbroken and defined at that point.
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How to Study Continuity And Differentiability

A structured approach to studying Continuity And Differentiability for MHT-CET Mathematics.

Study Plan for Continuity And Differentiability

1

Day 1–2: Learn the Theory

Study the chapter thoroughly. Note down definitions, formulas, and key concepts.

2

Day 3: Practice Problems

Solve practice questions and previous year MHT-CET problems. There are 455 questions available for this chapter.

3

Day 4: Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding.

What to Focus On

  • Continuity ensures no breaks in the function graph
  • Differentiability requires the existence of a unique tangent line
  • Differentiable implies continuous, but not vice versa

  • Three conditions must be satisfied for continuity at a point
  • Piecewise functions often have discontinuities at boundary points
  • Use the three-step method systematically

  • Removable discontinuities can be fixed by redefining the function
  • Jump discontinuities show abrupt changes in function values
  • Infinite discontinuities often involve division by zero

Common Mistakes to Avoid

If a function is continuous at a point, it must be differentiable at that point

For piecewise functions, if f(a-) = f(a+) = f(a), then the function is differentiable at x = a

The derivative of |f(x)| is always |f'(x)|

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Frequently Asked Questions

What topics are covered in Continuity And Differentiability for MHT-CET?
Continuity And Differentiability is an important chapter in MHT-CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Continuity of Functions, Differentiability of Functions, Derivatives of Inverse Trigonometric Functions, Exponential and Logarithmic Functions.
How important is Continuity And Differentiability for MHT-CET?
Continuity And Differentiability is a frequently tested chapter in MHT-CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 455 practice questions available for this chapter.
How to prepare Continuity And Differentiability for MHT-CET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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