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

2021 · 31 Aug · Shift 1 · Q39
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Application of Derivatives
  5. /2021 · 31 Aug · Shift 1 · Q39

Application of Derivatives question

2021 · 31 Aug · Shift 1 · Q39

JEE MainMathematicsApplication of DerivativesNumerical+4 / −1
If 'R' is the least value of 'a' such that the function f(x) = x2 + ax + 1 is increasing on [1, 2] and 'S' is the greatest value of 'a' such that the function f(x) = x2 + ax + 1 is decreasing on [1, 2], then the value of |R −-− S| is ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Application of Derivatives

  • Let f(x) be a cubic polynomial with f(1) = − 10, f(− 1) = 6, and has a local minima at x = 1, and f'(x) has a local minima at x = − 1. Then f(3) is equal to ​.2021 · Numerical
  • If p(x) be a polynomial of degree three that has a local maximum value 8 at x = 1 and a local minimum value 4 at x = 2; then p(0) is equal to :2020 · MCQ
  • Let f : (–1, ∞) → R be defined by f(0) = 1 and f(x) = x1​loge​(1+x), x e 0. Then the function f :2020 · MCQ
  • The function, f(x) = (3x – 7)x2/3, x ∈ R, is increasing for all x lying in :2020 · MCQ
  • If the surface area of a cube is increasing at a rate of 3.6 cm2/sec, retaining its shape; then the rate of change of its volume (in cm3/sec), when the length of a side of the cube is 10 cm, is :2020 · MCQ
  • Let f be a twice differentiable function on (1, 6). If f(2) = 8, f’(2) = 5, f’(x) ≥ 1 and f''(x) ≥ 4, for all x ∈ (1, 6), then :2020 · MCQ
  • The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie on the parabola, y = x2–1 below the x-axis, is :2020 · MCQ
  • If the point P on the curve, 4x2 + 5y2 = 20 is farthest from the point Q(0, -4), then PQ2 is equal to:2020 · MCQ