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

2019 · 11 Jan · Shift 1 · Q28
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Application of Derivatives
  5. /2019 · 11 Jan · Shift 1 · Q28

Application of Derivatives question

2019 · 11 Jan · Shift 1 · Q28

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
The maximum value of the function f(x) = 3x3 – 18x2 + 27x – 40 on the set S = {x ∈R:x2+30≤11x}\left\{ {x\, \in R:{x^2} + 30 \le 11x} \right\}{x∈R:x2+30≤11x} is :
  1. A
    −-− 222
  2. B
    −-− 122
  3. C
    122122122
  4. D
    222
PreviousNext

More from Application of Derivatives

  • Let f(x) = a2+x2​x​−b2+(d−x)2​d−x​, x ∈ R, where a, b and d are non-zero real constants. Then :2019 · MCQ
  • A 2 m ladder leans against a vertical wall. If the top of the ladder begins to slide down the wall at the rate 25 cm/sec, then the rate (in cm/sec.) at which the bottom of the ladder slides away from the wall on the horizontal ground when…2019 · MCQ
  • If m is the minimum value of k for which the function f(x) = x kx−x2​ is increasing in the interval [0,3] and M is the maximum value of f in [0, 3] when k = m, then the ordered pair (m, M) is equal to :2019 · MCQ
  • If the function f given by f(x) = x3 – 3(a – 2)x2 + 3ax + 7, for some a ∈ R is increasing in (0, 1] and decreasing in [1, 5), then a root of the equation, (x−1)2f(x)−14​=0(xe1)…2019 · MCQ
  • If a right circular cone, having maximum volume, is inscribed in a sphere of radius 3 cm, then the curved surface area (in cm2) of this cone is :2018 · MCQ
  • Let M and m be respectively the absolute maximum and the absolute minimum values of the function, f(x) = 2x3 − 9x2 + 12x + 5 in the interval [0, 3]. Then M − m is equal to :2018 · MCQ
  • Let f(x)=x2+x21​ and g(x)=x−x1​, x∈R−{−1,0,1}. If h(x)=g(x)f(x)​, then the local…2018 · MCQ
  • The function f defined by f(x) = x3 − 3x2 + 5x + 7 , is :2017 · MCQ