If is defined by

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

f:\mathbb{R}\to\mathbb{R}

is defined by

f(x)=\frac{e^{x^2}-e^{-x^2}}{e^{x^2}+e^{-x^2}}

, then (1)

f(x)

is an increasing function (2)

f(x)

is a decreasing function (3)

f

is onto (4) None of the above