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

Differentiation question

2020 · 3 Sep · Shift 1 · Q28
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Differentiation
  5. /2020 · 3 Sep · Shift 1 · Q28

Differentiation question

2020 · 3 Sep · Shift 1 · Q28

JEE MainMathematicsDifferentiationMCQ+4 / −1
If y2 + loge (cos2x) = y, x∈(−π2,π2)x \in \left( { - {\pi \over 2},{\pi \over 2}} \right)x∈(−2π​,2π​), then :
  1. A
    |y''(0)| = 2
  2. B
    |y'(0)| + |y''(0)| = 3
  3. C
    y''(0) = 0
  4. D
    |y'(0)| + |y"(0)| = 1
PreviousNext

More from Differentiation

  • If (a+2​bcosx)(a−2​bcosy)=a2−b2 where a > b > 0, then dydx​at(4π​,4π​) is :2020 · MCQ
  • The derivative of tan−1(x1+x2​−1​) with respect to tan−1(1−2x22x1−x2​​) at x =21​ is :2020 · MCQ
  • Let xk + yk = ak, (a, k > 0 ) and dxdy​+(xy​)31​=0, then k is:2020 · MCQ
  • If y(α)=2(1+tan2αtanα+cotα​)+sin2α1​​,α∈(43π​,π)dαdy​atα=65π​is…2020 · MCQ
  • Let y = y(x) be a function of x satisfying y1−x2​=k−x1−y2​ where k is a constant and y(21​)=−41​. Then dxdy​ at x =21​, is equal to :2020 · MCQ
  • Let ƒ(x) = (sin(tan–1x) + sin(cot–1x))2 – 1, |x| > 1. If dxdy​=21​dxd​(sin−1(f(x))) and y(3​)=6π​, then y(−3​…2020 · MCQ
  • If x=2sinθ−sin2θ and y=2cosθ−cos2θ, θ∈[0,2π], then dx2d2y​ at θ=π is :2020 · MCQ
  • Let ƒ and g be differentiable functions on R such that fog is the identity function. If for some a, b ∈ R, g'(a) = 5 and g(a) = b, then ƒ'(b) is equal to :2020 · MCQ