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Application of Derivatives question

2019 · 11 Jan · Shift 2 · Q25
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  5. /2019 · 11 Jan · Shift 2 · Q25

Application of Derivatives question

2019 · 11 Jan · Shift 2 · Q25

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
Let f(x) = xa2+x2−d−xb2+(d−x)2,  {x \over {\sqrt {{a^2} + {x^2}} }} - {{d - x} \over {\sqrt {{b^2} + {{\left( {d - x} \right)}^2}} }},\,\,a2+x2​x​−b2+(d−x)2​d−x​, x  ∈\, \in∈ R, where a, b and d are non-zero real constants. Then :
  1. A
    f is an increasing function of x
  2. B
    f is neither increasing nor decreasing function of x
  3. C
    f ' is not a continuous function of x
  4. D
    f is a decreasing function of x
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