: the derivative of a function Word History First Known Use 1852, in the meaning defined above Time Traveler The first known use of first derivative was in 1852 See more words from the same year The Ultimate Dictionary Awaits Expand your vocabulary and dive deeper into language with Merria...
It determines the instantaneous rate of change for the function at that point. How do you find the first derivative of a function? To find the first derivative, substitute (x+h) in for each x value in the original function, subtract the original function and divide the entire expression by...
The graph shown is the first derivative, f'(x ), of a function f(x). Use information derived from the first derivative to sketch a graph of the function f(x ). 相关知识点: 试题来源: 解析 The derivative is negative -5< x<-3, so the function is decreasing, and turns at x=-3,...
The first derivative of a function {eq}A g(x) {/eq} is written as {eq}\displaystyle A\cdot \frac{\mathrm{d} (g(x))}{\mathrm{d} x} {/eq} or {eq}A\cdot g'(x) {/eq} where the function {eq}g(x) {/eq} is differentiable with respect to the variable x and we'll take...
Find the derivative of each implicit function, where dY/dX = F_X/F_Y, provided that F_Y is not equal to 0. (a) F(x,y) = x^2 + y^2 + (xy)^1/3 = 0 (b) F(x,y) = x^2y + y^2x + xy = 0 Find the derivative of each implicit function, where ...
Noun1.first derivative- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx derivative,derived function,differential,differential coefficient curvature- the rate of change (at a point) of the angle between a curve and a tangent to the...
结果1 题目 The first derivative of the function f is given by f'(x)=sin (x^2). At which of the following values of x does f have a local minimum? () A. 2.507 B. 2.171 C. 1.772 D. 1.253 E. 0 相关知识点: 试题来源: 解析 A 反馈 收藏 ...
The graph given to the right is the graph of f', the first derivative of a differentiable function, f. Use the graph to answer the questions below.On what interval(s) is f''>0? <0 ? Give reasons for your answers. 相关知识点: ...
First derivative of the penalty function.Holger Reulen
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