17. If a function f(x) is differentiable at x =c, prove that it is continuous at x = c. 相关知识点: 试题来源: 解析Since fis differentiable atc. we have i lim_(x→c)(f(x)-f(c))/(x-c)=f'(c) But for, we have x≠qc f(x)-f(x)=
A function f(x) is differentiable in and f' is continuous in .Use Fundamental Theorem of Calculus to evaluate:a) f'b) f' 答案 a) b) 相关推荐 1A function f(x) is differentiable in and f' is continuous in .Use Fundamental Theorem of Calculus to evaluate:a) f'b) f' 反馈 收藏 ...
From here we have that if a function isn't continuous it is differentiable. Answer and Explanation:1 (a): Since we have: limx→2−f(x)=0,limx→2+f(x)=−2 And because:0≠−2we conclude that the... Learn more abo...
How to show that a function is continuous and differentiable? Prove the following: If f is differentiable at a, then f is continuous at a. 9. Consider the following function which is continuous and differentiable for all x (you do not need to prove this!): f(x) = \left\{\begin{ma...
( ) A. $-4$ B. $-2$ C. $1$ D. $4$ 答案 D相关推荐 1$f$ is a continuous, differentiable function represented in this table. Given $g(x)=f(x^{2})$, find $g'(2)$. ( ) A. $-4$ B. $-2$ C. $1$ D. $4$ 反馈 收藏 ...
【题目】 A function f(x) is differentiable in (-∞,∞) and f' is continuous in (-∞,∞).Use Fundamental T heorem o f Calculus to eva luate:a$$ \frac { 1 d } { 1 a x } $$)$$ ( \int _ { x } ^ { x ^ { 2 } } f ( t ) , t $$)b)$$ \int _ { x } ...
What is a continuous function? Different types (left, right, uniformly) in simple terms, with examples. Check continuity in easy steps.
(b) At whatx-values does the function appear to not be differentiable? Continuous and Differentiable Function: A function is continuous if graph of the function is continuous curve. If function is not continuous at point 'a' then function...
If f is continuous at a, then f is differentiable at a. a. True. b. False.Differentiable function:A function is differentiable if its derivative exists at each point in its domain. Given a point a of the function domain, the function is differentiable if the derivative:...
b] and differentiable on the open interval (a,b), which of the following theorems mightnot be satisfied?I. Mean Value TheoremII. Rolle's TheoremIII. Extreme Value TheoremA:III, onlyB:II, onlyC:I, onlyD:II andIII, only 相关知识点: ...