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

question 225

Multiple Choice

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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