If f(x)=|ln|x||, then (a)f(x) is continuous and differentiable for all x in its domain (b)f(x) is continuous for all for all x in its domain but not
Rolle's Theorem If f(x) is continuous on [a, b], differentiable on (a, b), and f(a) = f(b), then there is guaranteed to exist a value of c on (a, b) such that f'(c) = 0.Consider the function, f(x), presented on the previous page. Does Rolle's Theorem apply on ...
To solve the problem, we need to analyze the function given and determine where it is not differentiable. The function is defined as:
If a function is differentiable at a point then it must be continuous at that point. However, the converse need not be true. If a function is continuous at a point then it may or may not be differentiable at that point. Answer and Explanation: The given hypothesis...
If f is continuous for a≤q x≤q b and differentiable for a x b, which of the following could be false? ( ) A. f' ( c )= (f(b)-f(a))(b-a) for some c such that a c b. B. f' ( c )=0 for some c such that a c b. C. f has a minimum value on a≤q ...
Given the graph of a function f. Find the point where f is not differentiable. At which number c is f continuous but not differentiable? Given f(x) = \frac{\sqrt {x + 1} - 2}{x - 3} let function f(x) of 3 so that it becomes continuous at 3. ...
we have i lim_(x→c)(f(x)-f(c))/(x-c)=f'(c) But for, we have x≠qc f(x)-f(x)=(f(x)-f(c))/(x-c)⋅(x-c) Thingone i l_2=f(x)=f(x)]=(m,(f(x)-f(x))/(x-c)⋅(x-c)] o(x) T)c =f'(c)⋅0=0 lin forl =foos. Hence fis continuous at ...
If f is not differentiable,then f is not continuous at this point.A.正确B.错误的答案是什么.用刷刷题APP,拍照搜索答疑.刷刷题(shuashuati.com)是专业的大学职业搜题找答案,刷题练习的工具.一键将文档转化为在线题库手机刷题,以提高学习效率,是学习的生产力工具
According to the Mean Value Theorem, if f(x) is continuous on the closed interval and differentiable on the open interval, there exists at least one c in (a,b) such that: f′(c)=f(b)−f(a)b−a Step 3: Analyze f(−1)Let's apply the Mean Value Theorem on the interval (...
结果1 题目 Let f be continuous on [a,b] and differentiable on (a,b). If there exists c in (a,b) such that f'(c)=0, does it follow that f(a)=f(b)? Explain. 相关知识点: 试题来源: 解析 No. Let f(x)=x^2 on [-1,2]. 反馈 收藏 ...