Consider , defined for . For which value of does attain a relative minimum at…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider

g(x)=x^{2}+kx+1+\dfrac{1}{x}

, defined for

x>0

. For which value of

k

does

g

attain a relative minimum at

x=1

? (a)

k=-2

(b)

k=-1

(c)

k=-3

(d)

k=0