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Let be given such that,, and all exist at every point in the domain. Fix a point. Which of the below statements relating to the differentiability at this point is correct?

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Let<br><img src='https://www.fatskills.com/images2/GradExams/283E8FD1-0054-446A-9214-AF88BD1A2688.png' height='21' width='95'/> be given such that<br><img src='https://www.fatskills.com/images2/GradExams/3376D671-74C7-4D8E-8621-84CE8F86550D.png' height='18' width='34'/>,<br><img src='https://www.fatskills.com/images2/GradExams/7DA33C2C-996C-4905-BCAE-541900EB6D28.png' height='18' width='34'/>,<br><img src='https://www.fatskills.com/images2/GradExams/71E4B5A4-F26E-4C7A-BF8C-B993DD63EA7A.png' height='18' width='41'/> and<br><img src='https://www.fatskills.com/images2/GradExams/E4E5187A-ABB9-41C3-B921-E35B0D706437.png' height='18' width='41'/> all exist at every point<br><img src='https://www.fatskills.com/images2/GradExams/18A8BC32-3908-48A9-9494-A2E82313B25F.png' height='13' width='11'/> in the domain. Fix a point<br><img src='https://www.fatskills.com/images2/GradExams/64D1411A-5387-44FF-A6AB-631C28C7A113.png' height='18' width='49'/>. Which of the below statements relating to the differentiability at this point is correct?





 
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