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Class 12 Mathematics — Chapter 6: Application of Derivatives
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Free NCERT-aligned multiple-choice practice for Class 12 Mathematics, Chapter 6 (Application of Derivatives). 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
Rate of change of y w.r.t. x is:
A.dy/dx✓ correct
B.Δy
C.y/x
D.dy
Why
Standard.
Q2Medium
If f'(c) = 0 and f''(c) > 0:
A.Local minimum at c✓ correct
B.Local maximum
C.Inflection
D.Discontinuity
Why
Second derivative test.
Q3Hard
Maximum area of rectangle inscribed in circle of radius R:
A.2R² (square inscribed)✓ correct
B.R²
C.4R²
D.πR²
Why
Square diagonal = 2R; area = 2R².
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