Read the two statements and choose the correct option.
I. Every function differentiable at $x = a$ is continuous at $x = a$ .
II. Every function continuous at $x = a$ is differentiable at $x = a$ .

Only ICorrect answerYour answerOnly IICorrect answerYour answerBoth I and IICorrect answerYour answerNeither I nor IICorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

The implication runs one way only.

Ten questions from Continuity & Differentiability, at your own pace.

Ten questions from Continuity & Differentiability, at your own pace.

Read the two statements and choose the correct option.I. Every function differentiable at x=ax = ax=a is continuous at x=ax = ax=a.II. Every function continuous at x=ax = ax=a is differentiable at x=ax = ax=a.