How many MCQ questions are available for Application of Derivatives?

There are 54 MCQ questions available for Application of Derivatives (Class 12 Mathematics) — 18 easy, 25 medium, and 11 hard.

Application of Derivatives

Q: What topics are covered in Application of Derivatives?

Key concepts covered: Absolute maxima and minima, Approximations using derivatives, First derivative test, Increasing and decreasing functions, Marginal cost and revenue, Maxima and minima, Optimization problems, Rate of change of quantities, Second derivative test, Tangents and normals.

Class 12 · Mathematics

54 questions18 easy25 medium11 hard

Sample Questions

Q1.A 15-m ladder leans against a wall. Bottom slides away at 1 m/s. When bottom is 12 m from wall, the rate at which top slides down is:

A4/3 m/s
B3/4 m/s
C5/4 m/s
D12/5 m/s

Q2.The rate of change of area of a circle with respect to its radius r is:

A2πr²
B2πr
Cπr²
Dπr

Q3.The function f(x) = 4x³ – 6x² – 72x + 30 has local maximum at x = :

A3
B–3
C2
D–2

Q4.The curve y = x³ – 3x² + 3x – 1 has an inflection point at x = :

Q5.A function f is increasing on an interval I if for all x₁ < x₂ in I:

Af(x₁) > f(x₂)
Bf(x₁) = f(x₂)
Cf(x₁) < f(x₂)
Df'(x₁) < f'(x₂)

Q6.This is a sample question to preview what you'll get in the full practice test...

A. Option one
B. Option two
C. Option three
D. Option four

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Concepts Covered

Absolute maxima and minimaApproximations using derivativesFirst derivative testIncreasing and decreasing functionsMarginal cost and revenueMaxima and minimaOptimization problemsRate of change of quantitiesSecond derivative testTangents and normals

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