How do you find if a function is continuous and differentiable? Show that the function, f(x) = \left\{\begin{matrix} (x^2 + 1), & if & x \leq -1 \\ -2x, & if & x > -1 \end{matrix}\right. is continuous and differentiable at the value x = -1. ...
百度试题 结果1 题目Iff is continuous on (a,b), then f attains an absolute maximumvalue f(c) and an absolute minimum value f(d) at some numbers and in (a,b).正确错误 相关知识点: 试题来源: 解析 错误 反馈 收藏
A function is continuous at a point if: 1) The one-sided limits exist and are the same, in which case the limit exists. 2) The value of the limit coincides with the value of the function in the p...
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Answer to: Show if the following function is continuous or not. g(x, y) = (xy^3)/(x^2 + y^2) if (x, y) is not equal to 0, g(x, y) = 0 if (x, y) =...
Supposef(x)is continuous on(4,5)and {eq}-3\le f'(x)\le 4 {/eq} for all x in (4,5). Use the Mean Value Theorem to estimatef(5)-f(4). Mean Value Theorem: For a function continuous and differentiable on an interval w...
The Mean Value Theorem for double integrals says that if f is a continuous function on a plane region D that is of type Ⅰ or Ⅱ, then there exists a point in D such thatUse the Extreme Value Theorem (14.7.8) and Property 15.3.11 of integrals to prove this theorem. (Use the proof...
A function f is continuous at a point a if the limit of f(x) as x approaches a exists and is equal to f(a). This means that the value of the function at a is equal to the value it approaches as x gets closer and closer to a. ...
At what interval is the functionF(x)=1x2−9continuous? Discontinuity: Discontinuity on the graph of a function is of various types: Jump discontinuity, infinite discontinuity, and removable discontinuity. The Infinite discontinuity occurs when the one-sided limits at a point are also i...