Determine the concavity of f(x) = cos x + sin x on [0, 2 $\pi$] and identify any points of inflection.
A) concave down on [0, 3 $\pi$/4) (7 $\pi$/4, 2 $\pi$], concave on (3 $\pi$/4, 7 $\pi$/4); inflection points at x = 3 $\pi$/4 and
B) concave up on [0, 3 $\pi$/4) (7 $\pi$/4, 2 $\pi$], concave down on (3 $\pi$/4, 7 $\pi$/4); inflection points at x = 3 $\pi$/4 and
C) concave down on [0, $\pi$/4) (5 $\pi$/4, 2 $\pi$], concave up on ( $\pi$/4, 5 $\pi$/4); inflection points at x = $\pi$/4 and
D) concave up on [0, $\pi$/4) (5 $\pi$/4, 2 $\pi$], concave down on ( $\pi$/4, 5 $\pi$/4); inflection points at x = $\pi$/4 and
E) concave down on (0, 3 $\pi$/4) (7 $\pi$/4, 2 $\pi$), concave up on (3 $\pi$/4, 7 $\pi$/4); inflection points at x = 3 $\pi$/4 and

Question

Determine the concavity of f(x) = cos x + sin x on [0, 2 $\pi$] and identify any points of inflection.
A) concave down on [0, 3 $\pi$/4) (7 $\pi$/4, 2 $\pi$], concave on (3 $\pi$/4, 7 $\pi$/4); inflection points at x = 3 $\pi$/4 and 
B) concave up on [0, 3 $\pi$/4) (7 $\pi$/4, 2 $\pi$], concave down on (3 $\pi$/4, 7 $\pi$/4); inflection points at x = 3 $\pi$/4 and 
C) concave down on [0, $\pi$/4) (5 $\pi$/4, 2 $\pi$], concave up on ( $\pi$/4, 5 $\pi$/4); inflection points at x = $\pi$/4 and 
D) concave up on [0, $\pi$/4) (5 $\pi$/4, 2 $\pi$], concave down on ( $\pi$/4, 5 $\pi$/4); inflection points at x = $\pi$/4 and 
E) concave down on (0, 3 $\pi$/4) (7 $\pi$/4, 2 $\pi$), concave up on (3 $\pi$/4, 7 $\pi$/4); inflection points at x = 3 $\pi$/4 and

Quizplus · Accepted Answer

The Answer of Determine the concavity of f(x) = cos x + sin x on [0, 2 $\pi$] and identify any points of inflection.
A) concave down on [0, 3 $\pi$/4) (7 $\pi$/4, 2 $\pi$], concave on (3 $\pi$/4, 7 $\pi$/4); inflection points at x = 3 $\pi$/4 and 
B) concave up on [0, 3 $\pi$/4) (7 $\pi$/4, 2 $\pi$], concave down on (3 $\pi$/4, 7 $\pi$/4); inflection points at x = 3 $\pi$/4 and 
C) concave down on [0, $\pi$/4) (5 $\pi$/4, 2 $\pi$], concave up on ( $\pi$/4, 5 $\pi$/4); inflection points at x = $\pi$/4 and 
D) concave up on [0, $\pi$/4) (5 $\pi$/4, 2 $\pi$], concave down on ( $\pi$/4, 5 $\pi$/4); inflection points at x = $\pi$/4 and 
E) concave down on (0, 3 $\pi$/4) (7 $\pi$/4, 2 $\pi$), concave up on (3 $\pi$/4, 7 $\pi$/4); inflection points at x = 3 $\pi$/4 and

Determine the Concavity of F(x) = Cos X + Sin π\piπ

Determine the Concavity of F(x) = Cos X + Sin $\pi$