Find All Critical Numbers for the Function $f ( x ) = \sin x + \cos x \text { for } 0 < x < \pi$

Find all critical numbers for the function $f ( x ) = \sin x + \cos x \text { for } 0 < x < \pi$ .

A) $\frac { \pi } { 2 }$

B) $\frac { 3 \pi } { 2 }$
C) 0
D) None of these
E) $\frac { \pi } { 3 }$
F) $\frac { \pi } { 4 }$

G) -1
H) No critical numbers

Correct Answer:

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