EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Continuity & Differentiability · Question 119 of 125

Question 119

HardOriginal question

Which of these describes f(x)=∣sin⁡x∣f(x) = \lvert \sin x \rvert at x=πx = \pi?

Options for question 119

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Both sides tend to 0 = f(π)f(\pi): continuous.

  2. Slopes cos⁡π=−1\cos \pi = -1 on the left and −cos⁡π=1-\cos \pi = 1 on the right: a corner.

Worth noting

Where sin⁡x\sin x crosses 0, the modulus turns its slope round.

Concept
Testing differentiability at a point
Typical time
120 s
Your time
—
The rule this testsDifferentiability
Practise this chapter →

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

Practise this chapter →

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