1

WB JEE 2023

MCQ (Single Correct Answer)

+2

-0.5

The portion of the tangent to the curve $${x^{{2 \over 3}}} + {y^{{2 \over 3}}} = {a^{{2 \over 3}}},a > 0$$ at any point of it, intercepted between the axes

2

WB JEE 2023

MCQ (Single Correct Answer)

+2

-0.5

Given $$f(x) = {e^{\sin x}} + {e^{\cos x}}$$. The global maximum value of $$f(x)$$

3

WB JEE 2022

MCQ (Single Correct Answer)

+1

-0.25

A particle moving in a straight line starts from rest and the acceleration at any time t is $$a - k{t^2}$$ where a and k are positive constants. The maximum velocity attained by the particle is

4

WB JEE 2021

MCQ (Single Correct Answer)

+1

-0.25

Let f : R $$\to$$ R be such that f(0) = 0 and $$\left| {f'(x)} \right| \le 5$$ for all x. Then f(1) is in

Questions Asked from Application of Derivatives (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

WB JEE Subjects

Physics

Mechanics

Units & Measurements Vector Algebra Motion Laws of Motion Circular Motion Work Power & Energy Center of Mass Rotational Motion Properties of Matter Heat and Thermodynamics Simple Harmonic Motion Waves Gravitation

Electricity

Electrostatics Current Electricity Capacitor Magnetism Electromagnetic Induction Alternating Current Electromagnetic Waves

Optics

Modern Physics

Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry Atomic Structure Redox Reaction Gaseous State Chemical Equilibrium Liquid Solution Ionic Equilibrium Thermodynamics Chemical Kinetics Radioactivity and Nuclear Chemistry Electrochemistry Solid State Surface Chemistry

Inorganic Chemistry

Periodic Table Chemical Bonding Metallurgy Hydrogen and It's Compounds Some s Block Elements Some P Block Elements d and f Block Elements Coordination Compounds

Organic Chemistry

Mathematics

Algebra

Sets and Relations Logarithms Sequence and Series Quadratic Equations Permutations and Combinations Mathematical Induction Binomial Theorem Matrices and Determinants Vector Algebra Three Dimensional Geometry Probability Complex Numbers Statistics

Trigonometry

Coordinate Geometry

Calculus