Rate of Change of a Function Ify=f(x)is a curve, then the value of the functionf(x)atx=aisf(a). The average rate of change forf(x)fromx=atox=bis: Average rate of change=f(b)−f(a)b−a The instantaneous rate of change forf(x)atx=ais:...
Answer to: Find the rate of change of the function f(x, y, z) = x^2y + y^2z^2 at the point (1, -1, 2) in the direction of the vector \textbf{i} -...
Average rate of change over an interval: A measure of how much a function changes over an interval on the {eq}x {/eq}-axis. Average rate of change formula: The average rate of change of a function {eq}f {/eq} over an interval {eq}[a,b] {/eq} on the {eq}x {...
Average Rate of Change of a Function: In mathematics, the average rate of change of a function,f(x), is the average rate in whichf(x) is changing with respect toxover an interval ofx-values. We have a handy formula we can use to find the average rate of change of a function over...
百度试题 结果1 题目Let f be the function given by f(x)=√ (x-3).Let A(w) be as described. Find the rate of change of A with respect to w when w=6. 相关知识点: 试题来源: 解析 1.732 反馈 收藏
Let y=5+x^2e^(-x)+2xDifferentiating both sides with respect to x , we get∴(dy)/(dx)=(x^2e^(-x)+2xe^(-x)÷2)By derivative of the inverse function∴(dx)/(dy)=1/((∂y)/(∂y))(dy)/(dx)≠q0∴ Rate of change of demand with respect to price -(dx)/(dy)-1/((...
Find the average rate of change of the function g (t)= t^2-16 over the interval a a 相关知识点: 试题来源: 解析 [g(b)-g(a)]/(b-a) 结果一 题目 有人可以帮我么 Find the average rate of change of the function g (t)= t^2-16 over the interval a a ...
When interpreting the average rate of change, we usually scale the result so that the denominator is 1. Average Rates of Change can be thought of as the slope of the line connecting two points on a function. Familiar Example Suppose you drive 120 miles in two hours. How fast were you go...
百度试题 结果1 题目Find the average rate of change of g() = f+ 3t + 1 on the interval[0, a. The answer will be an expression involvinga in simplest form. 相关知识点: 试题来源: 解析 a+3 反馈 收藏
Find the average rate of change of the function over the given intervals. h(t)=cott a.π4,3π4 b.5π6,3π2 a.The average rate of change overπ4,3π4is◻ (Type an exact answer, usingπas needed.) b.The average r...