What are the left-hand and right-hand derivatives of f(x) = | x - 1 | + x at x = 1?

Continuity & Differentiability · Question 98 of 125

Question 98

MediumOriginal question

What are the left-hand and right-hand derivatives of $f(x) = \lvert x - 1 \rvert + x$ at $x = 1$ ?

-1

and

1

Correct answerYour answer

1

and

1

Correct answerYour answer

0

and

2

Correct answerYour answer

0

and

1

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

$-1$ and 1 are the slopes of $\lvert x - 1 \rvert$ alone; the $+x$ adds 1 to each.

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

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