The derivative of the function \(y = x^{2}\sin x\) can be found using the product rule. Which of the following is the correct derivative formula in English? A. The derivative is \(2x\sin x + x^{2}\cos x\) B. The derivative is \(2x\cos x - x^{2}\sin x\) C. The...
Differentiate using the Product Rule which states that ( d/(dy)[f(y)g(y)]) is ( f(y)d/(dy)[g(y)]+g(y)d/(dy)[f(y)]) where ( f(y)=e^y) and ( g(y)=y^e).( e^yd/(dy)[y^e]+y^ed/(dy)[e^y])Differentiate using the Power Rule which states that ( d/(dy)...
Using the Product Rule with Negative Exponents and a Whole Number Base Follow these steps to evaluate exponential expressions with a whole number base: Step 1: Determine all of the exponents with the same base number, noting those that are positive and those that are negative. Step ...
Find the derivative using the product rule: H(x)=(x+2)(2x+3)(−3x+2) The derivative of a Function: The derivative of a function f at a point x is the slope to the tangent line to the graph on that point. To solve this problem, we'll take the derivati...
利用导数的乘法法则求解面积相关(Find the Area by Using Product Rule), 视频播放量 96、弹幕量 0、点赞数 1、投硬币枚数 0、收藏人数 2、转发人数 0, 视频作者 封存贝贝, 作者简介 最近在忙其他事情~所以更新的事情只好先慢节奏一下啦~,相关视频:导数乘法法则下的其他
Differentiate using the Product Rule which states that ( d/(du)[f(u)g(u)]) is ( f(u)d/(du)[g(u)]+g(u)d/(du)[f(u)]) where ( f(u)=u-√u) and ( g(u)=u+√u). ( (u-√u)d/(du)[u+√u]+(u+√u)d/(du)[u-√u]) Differentiate. ( (u-√u)(1+d/(du)...
Differentiate using the Product Rule which states that ( d/(dr)[f(r)g(r)]) is ( f(r)d/(dr)[g(r)]+g(r)d/(dr)[f(r)]) where ( f(r)=(d^2)/(dr^2)) and ( g(r)=π r^2). ( (d^2)/(dr^2)d/(dr)[π r^2]+π r^2d/(dr)[(d^2)/(dr^2)]) Differentiate...
To differentiate the function y=(1+2tanx)(5+4cosx) with respect to x using the product rule, we can follow these steps: 1. Identify the Functions: Let u=1+2tanx and v=5+4cosx. 2. Differentiate u and v: - Differentiate u: dudx=ddx(1+2tanx)=0+2sec2x=2sec2x - Differentiate ...
Using the product rule on the first derivative, we have f (x) = (1 − x)(−e−x) + (−1)(e−x) = (x − 2)e−x. We have f (x) = 0 when x = 2. Since f (x) > 0 for x > 2 and f (x) < 0 for x < 2, the concavity changes sign at x = 2. ...
课程观是在对西方受工具理性支配的课程理念与课程体系加以批判的基础上建立起来的一种课程观, One kind of curriculum view which the latter modernism curriculum view is in which criticizes the tool rationality control curriculum idea and the curriculum system in the foundation establishes to the West,[...