- Looking For Help In Explaining Part 2 Is F X Differentiable At X 4 Having Some Trouble Getting The Equations Proving 1 (31.51 KiB) Viewed 32 times
Looking for help in explaining part 2: Is f(x) differentiable at x=4? Having some trouble getting the equations proving
-
answerhappygod
- Site Admin
- Posts: 899604
- Joined: Mon Aug 02, 2021 8:13 am
Looking for help in explaining part 2: Is f(x) differentiable at x=4? Having some trouble getting the equations proving
Looking for help in explaining part 2: Is f(x) differentiable atx=4? Having some trouble getting the equations proving thatthey are to work out. Thank you!
Analyze the function f(x)={21x+104x+8 if x<4 if x≥4. Your classmates may be analyzing different functions, so in your initial post in Brightspace be sure to specify the function that you are analyzing. Part 1: Is f(x) continuous at x=4 ? Explain why or why not in your Discussion post Yes No Hint: In order for f(x) to be continuous at x=4, the limits of f(x) from the left and from the right must both exist and be equal to f(4). Part 2: Is f(x) differentiable at x=4 ? Explain why or why not in your Discussion post. Yes No Hint: Similarly to continuity, in order for f(x) to be differentiable at x=4,f(x) must be continuous at x=4 and the limits of the difference quotient hf(4+h)−f(4) from the left and from the right must both exist and be equal to each other.
Analyze the function f(x)={21x+104x+8 if x<4 if x≥4. Your classmates may be analyzing different functions, so in your initial post in Brightspace be sure to specify the function that you are analyzing. Part 1: Is f(x) continuous at x=4 ? Explain why or why not in your Discussion post Yes No Hint: In order for f(x) to be continuous at x=4, the limits of f(x) from the left and from the right must both exist and be equal to f(4). Part 2: Is f(x) differentiable at x=4 ? Explain why or why not in your Discussion post. Yes No Hint: Similarly to continuity, in order for f(x) to be differentiable at x=4,f(x) must be continuous at x=4 and the limits of the difference quotient hf(4+h)−f(4) from the left and from the right must both exist and be equal to each other.
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!