alex7717 alex7717
  • 21-11-2017
  • Mathematics
contestada

find an equation for a line that is normal to the graph of y=xe^x and goes through the origin

Respuesta :

zleisureoxoyqq
zleisureoxoyqq zleisureoxoyqq
  • 21-11-2017
y = xe^x
dy/dx(e^x x)=>use the product rule, d/dx(u v) = v*(du)/(dx)+u*(dv)/(dx), where u = e^x and v = x:
= e^x (d/dx(x))+x (d/dx(e^x))
y' = e^x x+ e^x
y'(0) = 1 => slope of the tangent
slope of the normal = -1
y - 0 = -1(x - 0)
y = -x => normal at origin
Answer Link

Otras preguntas

what are the prospect and challenges of Bagmati province​
Part A: Which conclusion is presented by the author in Chapter 1 of Written in Bone? A. Soil stains and other changes in the earth make it difficult for scienti
Question 4 (1 point) If you read a graph and saw the values of the motorcycle decreasing over time, this graph would show a positive correlation positive answer
1. Which of the following is a true statement? a. To square a number, multiply the number by 2. b. The inverse of squaring a number is to divide the number by 2
Write each expression using exponents. (Example 1. (-7).(-7) 5.5 5.5=. Evaluate each numerical expression. (Example 3) PLS HELP
Advantages of plantation farming
please help me in this question​
Please help :) Please explain your answer also because I need to learn this! A paratrooper and counter stronger winds than anticipated while parachuting from 13
Solve for x R=x-b/n Show work
If someone said you could be at an wlevation of 0 feet, where would you be?I NEED ANSWERS PLZ ASAP​