Application of Derivatives questions
910 published questions with worked solutions.
- If the line y = x + k is a normal to the parabola y^2 = 4x then k can have the value
- The area of the triangle formed by the tangent and the normal to the parabola y^2 = 4ax, both drawn at the same end of the latus...
- A point on the ellipse x^2+3y^2=9, where the tangent is parallel to the line y-x=0, is
- The equation of the normal to the ellipse x^2+4y^2=16 at the end of the latus rectum in the first quadrant is
- If the tangent and the normal to x^2-y^2=4 at a point cut off intercepts a_1, a_2 on the x-axis respectively and b_1, b_2 on the...
- Let f : R R be a function such that f(x) = x^3 - 6x^2 + 11x - 6. Then
- Let f : R R be a function such that f(x) = x^3 + x^2 + 3x + x. Then
- If the real-valued function f(x) = px + x is a bijective function then the set of possible values of p R is
- Let f(x) = 2x + | x|. Then f is
- Let f and g be functions from the interval [0, ) to the interval [0, ), f being an increasing function and g being a decreasing...
- There exists a function f(x) satisfying f(0) = 1, f'(0) = -1, f(x)>0 for all x and
- If m be the slope of a tangent to the curve e^ y = 1 + x^ 2 then
- If at each point of the curve y = x^ 3 - ax^ 2 + x + 1 the tangent is inclined at an acute angle with the positive direction of...
- The slope of the tangent to the curve y = x^ 2 - x at the point where the line y = 2 cuts the curve in the first quadrant is
- The slope of the tangent to the curve y = 4 - x^ 2 at the point where the ordinate and the abscissa are equal, is
- The slope of the tangent to the locus y = ^ -1 ( x) at x = - 4 is
- The equation of a curve is given by x = e^ t t, y = e^ t t. The inclination of the tangent to the curve at the point t = 4 is
- The curve given by x + y = e^ xy has a tangent parallel to the y-axis at the point
- The number of tangents to the curve x^ 3/2 + y^ 3/2 = a^ 3/2 , where the tangents are equally inclined to the axes, is
- The point on the curve x + y = 2a^ 2 , where the tangent is equally inclined to the axes, 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