Consider a function and a point. Which of the statements below is correct?

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Consider a function <img src='https://www.fatskills.com/images2/GradExams/A4EC487F-8786-4F87-817A-38FAC2670125.png' height='18' width='96'/> and a point <img src='https://www.fatskills.com/images2/GradExams/49F22D12-FF1B-4822-88F1-F0B66BBF414F.png' height='18' width='58'/>. Which of the statements below is correct?

<img src='https://www.fatskills.com/images2/GradExams/E8929E27-9E39-4AB9-BA64-3CC4CD8D55B5.png' height='18' width='10'/> is differentiable at <img src='https://www.fatskills.com/images2/GradExams/18A8BC32-3908-48A9-9494-A2E82313B25F.png' height='13' wi
<img src='https://www.fatskills.com/images2/GradExams/E8929E27-9E39-4AB9-BA64-3CC4CD8D55B5.png' height='18' width='10'/> is differentiable at <img src='https://www.fatskills.com/images2/GradExams/18A8BC32-3908-48A9-9494-A2E82313B25F.png' height='13' width='11'/> if, and only if, there exists a linear transformation <img src='https://www.fatskills.com/images2/GradExams/997D8670-7870-471B-8ED9-C76D7C79C281.png' height='15' width='99'/> such that <img src='https://www.fatskills.com/images2/GradExams/634286C8-DE80-42A7-820B-7BD0B7669FA6.png' height='18' width='49'/> is differentiable at <img src='https://www.fatskills.com/images2/GradExams/18A8BC32-3908-48A9-9494-A2E82313B25F.png' height='13' width='11'/>.
<img src='https://www.fatskills.com/images2/GradExams/E8929E27-9E39-4AB9-BA64-3CC4CD8D55B5.png' height='18' width='10'/> is differentiable at <img src='https://www.fatskills.com/images2/GradExams/18A8BC32-3908-48A9-9494-A2E82313B25F.png' height='13' wi
<img src='https://www.fatskills.com/images2/GradExams/E8929E27-9E39-4AB9-BA64-3CC4CD8D55B5.png' height='18' width='10'/> is differentiable at <img src='https://www.fatskills.com/images2/GradExams/18A8BC32-3908-48A9-9494-A2E82313B25F.png' height='13' wi

Consider a function and a point. Which of the statements below is correct?

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Consider a function and a point. Which of the statements below is correct?

❤ If you liked Fatskills, consider supporting us by checking out The Life Manuals You Never Got.

About | Explore | User Guide | Topics | Subjects | Doubt Solver | Career Aptitude Test | Answers | Free Tools | What Should We Know? Privacy | Terms |

Without work one finishes nothing. - Ralph Waldo Emerson© 2026 Fatskills.com

All trademarks, logos and brand names are the property of their respective owners. All company, product and service names used in this website are for identification purposes only. Use of these names, trademarks and brands does not imply endorsement.

About | Explore | User Guide | Topics | Subjects | Doubt Solver | Career Aptitude Test | Answers | Free Tools | What Should We Know?
Privacy | Terms |

Without work one finishes nothing. - Ralph Waldo Emerson
© 2026 Fatskills.com