If , for all , is a one-one function, then the greatest value of…

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

Problem

f(x)=x^3+3x^2+4x+a\sin x+b\cos x

, for all

x\in\mathbb{R}

, is a one-one function, then the greatest value of

a^2+b^2

is: (1) 1 (2) 2 (3)

\sqrt{2}

(4) None of these