Consider , . If is increasing for all then number of values of…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider

f(x)=\cos 2x+2x\lambda^2+(2\lambda+1)(\lambda-1)x^2

\lambda\in R

. If

f(x)

is increasing for all

x\in R

then number of values of

\lambda

is (a) 1 (b) 2 (c) 3 (d) infinite