题目
题目

BN5206 Re-opened Canvas questions [NON-GRADED, FOR PRACTICE]

单项选择题

Given the following function 𝑓 ( 𝑥 , 𝑦 ) = 3 𝑥 2 + 𝑦 2 + 1 The gradient of f at (x,y) = (1,1) is

选项
A.[ 6 2 ]
B.[ 5 1 ]
C.[ 4 1 ]
D.[ 7 2 ]
查看解析

查看解析

标准答案
Please login to view
思路分析
Question restatement: We’re given f(x,y) = 3x^2 + y^2 + 1, and asked for the gradient of f at the point (x, y) = (1, 1). Option 1: [ 6 2 ] - To find the gradient, compute partial derivatives: ∂f/∂x = 6x and ∂f/∂y = 2y. Evaluating at (1,1) gives ∂f/∂x = 6(1) = 6 and ∂f/∂y = 2(1) = 2. Therefore......Login to view full explanation

登录即可查看完整答案

我们收录了全球超50000道考试原题与详细解析,现在登录,立即获得答案。

类似问题

Please select all the correct statements about the gradient.

Given the following function The gradient of f at (x,y) = (1,1) is

Tasks: Let's continue taking partial derivatives. Go to Example 11.3 and work through yourself how the three derivatives (with respect to 𝑥 , 𝑦 , and 𝑧 ) were computed. At the end of Example 11.3 we are also introduced to the definition of the gradient of a function. If 𝑓 is a function of 𝑛 variables and all the partial derivatives exist, then the gradient of 𝑓 is defined to be ∇ 𝑓 ( 𝑥 ) = ( ∂ 𝑓 ∂ 𝑥 1 ( 𝑥 ) , ∂ 𝑓 ∂ 𝑥 2 ( 𝑥 ) , … , ∂ 𝑓 ∂ 𝑥 𝑛 ( 𝑥 ) ) . This video goes over the definition and some facts on notation: Question: Which of the following functions have gradient ∇ 𝑓 = ( 𝑦 𝑒 𝑥 𝑦 + 𝑦 , 𝑥 𝑒 𝑥 𝑦 + 𝑥 ) ?

Given the following function f(x,y)=3x2+y2+1 The gradient of f at (x,y) = (1,1) is

更多留学生实用工具

加入我们，立即解锁 海量真题 与 独家解析，让复习快人一步！