JEE Main 201911 Jan, Evening shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002Let 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+x2x−b2+(d−x)2d−x, x ∈\, \in∈ R, where a, b and d are non-zero real constants. Then :AOption A. f is an increasing function of xBOption B. f is neither increasing nor decreasing function of xCOption C. f ' is not a continuous function of xDOption D. f is a decreasing function of xCheckSkip · show solution
