📐Chapter Practice
Application of Derivatives — JEE Practice
16 practice questions across 1 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.
1 Topics16 Questions
Maxima, Minima & Rate of Change(16 Qs)
easy (5)
medium (6)
Q1The minimum value of f(x) = x² − 4x + 7 is:Q2The radius of a sphere increases at 2 cm/s. The rate of increase of volume when r = 5 cm is:Q3The point on y = x² nearest to (0, 5) is:Q4If x + y = 10, the maximum value of xy is:Q5Rolle's theorem requires f(a) = f(b) and guarantees:Q6The mean value theorem states f'(c) equals:
hard (5)
Q1A rectangular box with square base and open top has surface area 108 cm². The maximum volume is:Q2The function f(x) = x³ − 3x has a local maximum at:Q3The shortest distance from the origin to the curve xy = 4 is:Q4If f(x) = sin x − x, then for x > 0, f(x) is:Q5A cone has fixed slant height l. The semi-vertical angle for maximum volume is:
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