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Differentiation question

2017 · 8 Apr · Shift 1 · Q47
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  5. /2017 · 8 Apr · Shift 1 · Q47

Differentiation question

2017 · 8 Apr · Shift 1 · Q47

JEE MainMathematicsDifferentiationMCQ+4 / −1
If y = [x+x2−1]15+[x−x2−1]15,{\left[ {x + \sqrt {{x^2} - 1} } \right]^{15}} + {\left[ {x - \sqrt {{x^2} - 1} } \right]^{15}},[x+x2−1​]15+[x−x2−1​]15, then (x2 −-− 1) d2ydx2+xdydx{{{d^2}y} \over {d{x^2}}} + x{{dy} \over {dx}}dx2d2y​+xdxdy​ is equal to :
  1. A
    125 y
  2. B
    124 y2
  3. C
    225 y2
  4. D
    225 y
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