Continuity and Differentiability: Class 12 Mathematics (Bihar Board) important questions and practice
Continuity and Differentiability is chapter 5 of 13 in Bihar Board Class 12 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Continuity of a function at a point and on an interval
- Differentiability and the relation with continuity
- Derivatives of composite, implicit and inverse trigonometric functions
- Exponential and logarithmic functions; logarithmic differentiation
- Derivatives of functions in parametric form
- Second order derivatives
What examiners usually ask
- Find the value of k for which f(x) = kx + 1 for x <= 5 and 3x - 5 for x > 5 is continuous at x = 5
- Differentiate x^sin x + (sin x)^cos x with respect to x
- If x = a(cos t + t sin t) and y = a(sin t - t cos t), find d^2y/dx^2
Exam tip
For logarithmic differentiation of u^v type functions split the sum into two separate functions and take logs of each, and in parametric second derivatives remember to divide d/dt(dy/dx) by dx/dt; mean value theorems are no longer in the CBSE syllabus.
Continuity and Differentiability on other boards and exams
Frequently asked questions
What are the important questions from Continuity and Differentiability for Bihar Board Class 12?
The question types listed above repeat most often in Bihar Board Class 12 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Continuity and Differentiability in the Bihar Board Class 12 Mathematics syllabus?
Yes. Continuity and Differentiability is part of the current Bihar Board Class 12 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Continuity and Differentiability MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.