EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Increasing & Decreasing Functions · Question 20 of 74

Question 20

MediumOriginal question

Read the two statements and choose the correct option.

I. exe^x is strictly increasing on R\mathbb{R}.

II. e−xe^{-x} is strictly increasing on R\mathbb{R}.

Options for question 20

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. ddxex=ex>0\frac{d}{dx}e^x = e^x > 0, so I is true.

  2. ddxe−x=−e−x<0\frac{d}{dx}e^{-x} = -e^{-x} < 0, so e−xe^{-x} is strictly decreasing and II is false.

Concept
Exponential functions
Typical time
90 s
Your time
—
The rule this testsThe derivative test
Practise this chapter →

Ten questions from Increasing & Decreasing Functions, at your own pace.

Practise this chapter →

Ten questions from Increasing & Decreasing Functions, at your own pace.