After a constraint has been used to rewrite an objective function in terms of a…

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

Problem

After a constraint has been used to rewrite an objective function

f(x)

in terms of a single variable

x

, which condition identifies the

x

–values where a local maximum or minimum of

f

can occur? (a)

f''(x)=0

(b)

f(x)=0

(c)

f'(x)=0 \text{ or } f'(x) \text{ is undefined}

(d)

f'(x)=0

\text{ only}