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Class 12 Mathematics — Chapter 5: Continuity and Differentiability
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Free NCERT-aligned multiple-choice practice for Class 12 Mathematics, Chapter 5 (Continuity and Differentiability). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 66.
Sample questions
Q1Easy
All polynomials are continuous on:
A.R (all real numbers)✓ correct
B.[0, 1] only
C.Integers only
D.Cannot say
Why
Polynomials are continuous everywhere.
Q2Medium
d/dx [f(g(x))] =
A.f'(g(x)) · g'(x)✓ correct
B.f'(x) · g'(x)
C.f(g(x))
D.g(f(x))
Why
Chain rule.
Q3Hard
Mean Value Theorem: there exists c in (a,b) such that:
A.f'(c) = (f(b) − f(a))/(b − a)✓ correct
B.f(c) = 0
C.f(c) = average
D.f''(c) = 0
Why
Connects average and instantaneous rates.
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