The Difference Quotient: The difference quotient of a function is used to represent the average rate of change of the function over a given interval. For the functionf(x), the difference quotient, over an interval with a length ofh, is represented by the following expression:...
Learn how to find the difference quotient of a function with radicals, using examples and a detailed explanation of each step. Related to this QuestionEvaluate the difference quotient and simplify the result. h(x) = x^2 + x + 1 \ h(3 + \trian...
答案解析 结果1 举报 difference quotient是差商的意思y的差商是这样定义的y'=[f(x+h)-f(x)]/h=-3h-6x+8所以答案该选C APP内打开 结果2 举报 题目的意思就是对函数求导。所以y'=-6x+8 为你推荐 查看更多 函数周期题 画出y=sinωx的图象,沿着X轴翻折,得到y=-sinωx的图象,把y=sinωx的图象向...
Steps for Finding the Difference Quotient For a Rational Function Step 1:Identifyf(x),and findf(x+h).Note that both of these functions will be rational functions for this particular lesson. Step 2:Plug our functions from Step 1 into the difference quotient,f(x+h)−f(x)h, and simpl...
[translate] aThe way we write the difference quotient for the derivative of a function ƒ depends on how we label the points involved. 我们为作用ƒ的衍生物写差商的方式依赖于怎样我们标记点介入。 [translate] 英语翻译 日语翻译 韩语翻译 德语翻译 法语翻译 俄语翻译 阿拉伯语翻译 西班牙语翻译 ...
Solution Share Step 1 Solution:- We have given a function f(x) as f(x)=ex−6 Explanation: Difference quotient of a function given by f′(x)=f(x+h)−f(x)hView the full answer Step 2 Unlock Step 3 Unlock Answer UnlockPrevious...
In Exercises (1)-, find and simplify the difference quotient, for the given function. (1)f(x)=4x (2)f(x)=3x+7 (3) (4) (5) (6) (7) (8) (9)f(x)=6相关知识点: 试题来源: 解析 (1)4, (2)3, (3)2x+h, (4)2x+h-4, (5)4x+2h+1, (6)-2x-h+2, (7)-...
e.procedure used to define the derivative has a geometric interpretation which leads in a natural way to the idea of a tangent line to a curve.(4)差商表示直线 PQ 与水平线的夹角的正切。The difference quotient represents the trigonometric tangent of the ang...
Some estimates of the nth difference quotient of a function analytic in a convex regionAssume the following notations: D – a planar convex domain, A(D) – a class of functions F(z) analytic in D, {F(z);z 0 ,z 1 ,,z n } – the divided difference, z k ∈D, k=0,1,2,,n...
Difference Quotient: The difference quotient of a function can be referred to as the average rate of change of the function over an interval. If the length of the interval is {eq}h {/eq} and the interval is {eq}\left[ {x,x +...