Application of Derivatives questions
910 published questions with worked solutions.
- The sum of intercepts on coordinate axes made by tangent to the curve x+ y= a is
- The function f(x)= _e( +x) _e(e+x) is
- If f(x)= x x , then f(x) is increasing in
- Two positive numbers x and y such that (x+y)=60 and xy^3 is maximum, then the numbers are respectively
- The angle between the curves y= x and y= x, 0<x< 2 is
- The function, f(x)=x 1-x , where x (0,1), has local maximum at x=
- If x=t^2 and y=2t are parametric equation of a curve, then equation of the normal to the curve at t=2 is
- If the water is being poured at the rate 36 m^3/sec in a cylindrical vessel of base radius 3m, then the rate at which water level...
- 20 meters of wire is available to fence of a flowered in the form of a circular sector. If the flowerbed is to have maximum...
- If y=4x-5 is tangent to the curve y^ 2 =px^ 3 +q at (2,3), then
- The function f(x)=2x^ 3 -9x^ 2 +12x+29 is monotonically increasing in the interval
- The function f(x) = (x + 2) e<sup>-x</sup> is
- The side of a square sheet of metal is increasing at the rate of 3cm/min. At what rate is the area increasing when the length of...
- The maximum value of the function f(x)=3x^ 3 -18x^ 2 +27x-40 on the set S=[x R/x^ 2 +30 11x] is
- A stone is dropped in a quite lake and it is observed that waves move in circles. If the radius of a circular wave increases at...
- The rate of change of volume of a sphere with respect to its surface area, when the radius is 5 meters is
- The radius of right circular cylinder increases at the rate 0.1 cm/min and the height decreases at the rate of 0.2 cm/min. The...
- The set of all points, for which f(x) = x^2 e^ -x strictly increases, is
- The sides of an equilateral triangle are increasing at the rate of 2cm/sec. The rate at which the area increases, when side is 10...
- If slope of a tangent to the curve xy + ax + by = 0 at the point (1, 1) on it is 2, then a – b is
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and IntegrationChemical Kinetics