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Answer Step by step video solution for If y is a function of x and ln(x+y)-2x y=0, then the value of y^(prime)(0) is equal to 1 (b) -1 (c) 2 (d) 0 by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams.Updated...
If the function is f(x)=4x^2-1/(1-2x), and what is the value of [f(√3)-f(√2)]/(√3-√2)? A.-1 B.-2 C.0 D.1 E.2 答案:B 解析:先对已知的公式进行化简,f(x)=4x^2-1/(1-2x)=-(2x+1),再带入√3和√2,进行f(x)计算。再进行加减法计算。 f(√3)-f(√2)=-...
ParserNG comes with a FunctionManager class that allows users persist store functions for the duration of the session(JVM run). You may create and store a function directly by doing: FunctionManager.add("f(x,y) = x-x/y"); And then retrieve and use the function like this: ...
A. y = 2x + 1 B. y = 3x^2 - 2x C. y = 1/x D. y = x^3 + 2 相关知识点: 试题来源: 解析 B。本题考查二次函数的定义。二次函数的一般式为 y = ax^2 + bx + c(a ≠ 0)。选项 A 是一次函数,选项 C 是反比例函数,选项 D 是三次函数,只有选项 B 符合二次函数的形式。反...
The correct Answer is:The function f(x) is continuous at x=0. The function f(x)=2x−|x| can be re-written as f(x)= \begin{cases}2 x+x & : x \leq 0 \\ 2 x-x & : x>0\end{cases} $$ Now, $$ \lim _{x \rightarrow 0^{-}} f(x)=\lim _{x \rightarrow 0^{...
Let {eq}f(x,y) {/eq} be a two variable function which is defined at the point {eq}(x_0,y_0) {/eq}. It is said to be continuous at {eq}(x_0,y_0) {/eq} if the limit {eq}\displaystyle \lim_{(x,y)\rightarrow (x...
A. y = x + 2 B. y = 2x C. y = x^2 D. y = x / 2 相关知识点: 试题来源: 解析 B。当 x = 2 时,分别代入各个选项。选项 A,y = 2 + 2 = 4;选项 B,y = 2*2 = 4;选项 C,y = 2^2 = 4;选项 D,y = 2/2 = 1。只有选项 B 在 x = 2 时 y = 4,且符...
Answer to: Show that the function f(x, y) is differentiable at (0, 0), but not continuously differentiable at (0, 0). f(x,y)= (x - y)^2\sin...
A. y = x² B. y = 2x + 1 C. y = 1/x D. y = √x 相关知识点: 试题来源: 解析 B。本题考查线性函数的定义。线性函数的一般形式是 y = kx + b,其中 k 和 b 是常数。选项 A 是二次函数;选项 C 是反比例函数;选项 D 是根式函数。只有选项 B 符合线性函数的形式。反馈...