Let f(x) = dfracx√(a^2 + x^2) - dfracd - x√(b^2 + (d-x)^2), x ∈ R, where a, b and d are non-zero real constants. Then,

f is a decreasing function of x

f is an increasing function of x

f' is not a continuous function of x

f is neither increasing nor decreasing function of x

Let f(x) = dfracx√(a^2 + x^2) - dfracd - x√(b^2 + (d-x)^2),… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 11 Jan · Shift II

Let

f(x) = \dfrac{x}{\sqrt{a^2 + x^2}} - \dfrac{d - x}{\sqrt{b^2 + (d-x)^2}}

x \in R

, where

a

b

and

d

are non-zero real constants. Then,

Show answer

Correct option: C

[JEE Main 2019 · 11 Jan · Shift II]

Practise Application of Derivatives the way it is asked

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