Which of the statements below are true?
1) If $f ^ { \prime } ( c ) = 0$ , then f(x) has a maximum or minimum value at $x = c .$ 2) If $f ^ { \prime } ( x ) = g ^ { \prime } ( x )$ for all x in an interval I, then $f ( x ) = g ( x )$ on I.3) If f(x) is differentiable on the open interval $( a , b )$ , and c is a point of local maximum for f in $( a , b )$ , then $f ^ { \prime } ( c ) = 0$ .
A)None
B)1
C)2
D)3
E)1 and 2
F)1 and 3
G)2 and 3
H)All

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Quizplus · Accepted Answer

The Answer of Which of the statements below are true?
1) If $f ^ { \prime } ( c ) = 0$ , then f(x) has a maximum or minimum value at $x = c .$ 2) If $f ^ { \prime } ( x ) = g ^ { \prime } ( x )$ for all x in an interval I, then $f ( x ) = g ( x )$ on I.3) If f(x) is differentiable on the open interval $( a , b )$ , and c is a point of local maximum for f in $( a , b )$ , then $f ^ { \prime } ( c ) = 0$ .
A)None
B)1
C)2
D)3
E)1 and 2
F)1 and 3
G)2 and 3
H)All

Which of the Statements Below Are True? 1) If f′(c)=0f ^ { \prime } ( c ) = 0f′(c)=0

Which of the Statements Below Are True?
1) If $f ^ { \prime } ( c ) = 0$