Which of the following statements is always true?
A) If f is continuous at c, then it must be differentiable at c.
B) If f is differentiable at c, then it must be continuous at c.
C) If f is not differentiable at c, then it must be discontinuous at c.
D) If f(c + h) = f(c), then f must be differentiable at c.
E) All of the above

Question

Which of the following statements is always true?
A) If f is continuous at c, then it must be differentiable at c. 
B) If f is differentiable at c, then it must be continuous at c. 
C) If f is not differentiable at c, then it must be discontinuous at c. 
D) If f(c + h) = f(c), then f must be differentiable at c. 
E) All of the above

Quizplus · Accepted Answer

The Answer of Which of the following statements is always true?
A) If f is continuous at c, then it must be differentiable at c. 
B) If f is differentiable at c, then it must be continuous at c. 
C) If f is not differentiable at c, then it must be discontinuous at c. 
D) If f(c + h) = f(c), then f must be differentiable at c. 
E) All of the above

Which of the Following Statements Is Always True