1
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
A bulb is placed at the centre of a circular track of radius 10 m. A vertical wall is erected touching the track at a point P. A man is running along the track with a speed of 10 m/sec. Starting from P the speed with which his shadow is running along the wall when he is at an angular distance of 60$$^\circ$$ from P is
2
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Let f(x) > 0 for all x and f'(x) exists for all x. If f is the inverse function of h and $${h'(x) = {1 \over {1 + \log x}}}$$. Then, f'(x) will be
3
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Let f(x) be a derivable function, f'(x) > f(x) and f(0) = 0. Then,
4
WB JEE 2019
MCQ (Single Correct Answer)
+2
-0.5
Let $$f(x) = {x^4} - 4{x^3} + 4{x^2} + c,\,c \in R$$. Then
Questions Asked from Differentiation (MCQ (Single Correct Answer))
Number in Brackets after Paper Indicates No. of Questions
WB JEE Subjects
Physics
Mechanics
Units & MeasurementsVector AlgebraMotionLaws of MotionCircular MotionWork Power & EnergyCenter of MassRotational MotionProperties of MatterHeat and ThermodynamicsSimple Harmonic MotionWavesGravitation
Electricity
ElectrostaticsCurrent ElectricityCapacitorMagnetismElectromagnetic InductionAlternating CurrentElectromagnetic Waves
Optics
Modern Physics
Chemistry
Physical Chemistry
Some Basic Concepts of ChemistryAtomic StructureRedox ReactionGaseous StateChemical EquilibriumLiquid SolutionIonic EquilibriumThermodynamicsChemical KineticsRadioactivity and Nuclear ChemistryElectrochemistrySolid StateSurface Chemistry
Inorganic Chemistry
Periodic TableChemical BondingMetallurgyHydrogen and It's CompoundsSome s Block ElementsSome P Block Elementsd and f Block ElementsCoordination Compounds
Organic Chemistry
Mathematics
Algebra
Sets and RelationsLogarithmsSequence and SeriesQuadratic EquationsPermutations and CombinationsMathematical Induction and Binomial TheoremMathematical InductionBinomial TheoremMatrices and DeterminantsVector AlgebraThree Dimensional GeometryProbabilityComplex NumbersStatistics
Trigonometry
Coordinate Geometry
Calculus