Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Application of Derivatives question

2020 · 8 Jan · Shift 2 · Q20
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Application of Derivatives
  5. /2020 · 8 Jan · Shift 2 · Q20

Application of Derivatives question

2020 · 8 Jan · Shift 2 · Q20

JEE MainMathematicsApplication of DerivativesNumerical+4 / −1
Let ƒ(x) be a polynomial of degree 3 such that ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point at x = –1 and ƒ'(x) has a critical point at x = 1. Then ƒ(x) has a local minima at x = ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Application of Derivatives

  • A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness the melts at a rate of 50 cm3/min. When the thickness of ice is 5 cm, then the rate (in cm/min.) at which of the thickness of ice decreases, is :2020 · MCQ
  • If S1 and S2 are respectively the sets of local minimum and local maximum points of the function, ƒ(x) = 9x4 + 12x3 – 36x2 + 25, x ∈ R, then :2019 · MCQ
  • Let ƒ : [0, 2] → R be a twice differentiable function such that ƒ''(x) > 0, for all x ∈ (0, 2). If ϕ(x) = ƒ(x) + ƒ(2 – x), then ϕ is :2019 · MCQ
  • The height of a right circular cylinder of maximum volume inscribed in a sphere of radius 3 is2019 · MCQ
  • If ƒ(x) is a non-zero polynomial of degree four, having local extreme points at x = –1, 0, 1; then the set S = {x ∈ R : ƒ(x) = ƒ(0)} Contains exactly :2019 · MCQ
  • A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan−1(21​). Water is poured into it at a constant rate of 5 cubic meter per minute. The the rate (in m/min.),…2019 · MCQ
  • The maximum volume (in cu.m) of the right circular cone having slant height 3 m is :2019 · MCQ
  • A spherical iron ball of radius 10 cm is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm3 /min. When the thickness of the ice is 5 cm, then the rate at which the thickness (in cm/min) of the ice decreases, is :2019 · MCQ