Q.13 let u: r r be a twice continuously differentiable function such that u(0)> 0 and u'(0) >0. suppose u satisfies u(x) for all x e r. u"(x)= 1+x2 consider the

Q.13 Let u: R R be a twice continuously differentiable function such that u(0)> 0 and u'(0) >0. Suppose u satisfies u(X) for all x E R. u"(X)= 1+x2 Consider the following two statements I. The function uu' is monotonically increasing on [0, co). II. The function u is monotonically increasing on [0, o Then which one of the following is correct? (A) Both I and II are false. (B) Both I and II are true. (C) Iis false, but II is true. (D) Iis true, but II is false.