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

2013 · Shift 2 · Q40
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Advanced
  3. /Mathematics
  4. /Application of Derivatives
  5. /2013 · Shift 2 · Q40

Application of Derivatives question

2013 · Shift 2 · Q40

JEE AdvancedMathematicsApplication of DerivativesMultiple correct+4 / −2
The function f(x)=2∣x∣+∣x+2∣−∣∣x+2∣−2∣x∣∣f(x) = 2\left| x \right| + \left| {x + 2} \right| - \left| {\left| {x + 2} \right| - 2\left| x \right|} \right|f(x)=2∣x∣+∣x+2∣−∣∣x+2∣−2∣x∣∣ has a local minimum or a local maximum at x =
  1. A
    −-− 2
  2. B
    −23{{ - 2} \over 3}3−2​
  3. C
    2
  4. D
    23{{ 2} \over 3}32​
PreviousNext

More from Application of Derivatives

  • Let f:IR→IR be defined as f(x)=∣x∣+​x2−1​. The total number of points at which f attains either a local maximum or a local minimum is2012 · Numerical
  • Let p(x) be a real polynomial of least degree which has a local maximum at x=1 and a local minimum at x=3. If p(1)=6 and p(3)=2, then p′(0) is2012 · Numerical
  • Let f(x)=(1−x)2sin2x+x2 for all x∈IR and let g(x)=1∫x​(t+12(t−1)​−Int)f(t)dt for…2012 · MCQ
  • Let f(x)=(1−x)2sin2x+x2 for all x∈IR and let g(x)=1∫x​(t+12(t−1)​−Int)f(t)dt for…2012 · MCQ
  • If f(x)=∫0x​et2(t−2)(t−3)dt for all x∈(0,∞), then2012 · Multiple correct
  • Let f be a real-valued differentiable function on R(the set of all real numbers) such that f(1)=1. If the y-intercept of the tangent at any point P(x,y) on the curve y=f(x) is equal to the cube of the abscissa of P, then find…2010 · Numerical
  • Let f be a function defined on R(the set of all real numbers) such that f′(x)=2010(x−2009)(x−2010)2(x−2011)3(x−2012)4 for all x∈R If g…2010 · Numerical
  • The maximum value of the function f(x)=2x3−15x2+36x−48 on the set A={x∣x2+20≤9x∣} is ​.2009 · Numerical