betzabeth8
betzabeth8 betzabeth8
  • 02-03-2017
  • Mathematics
contestada

Find an equation of the tangent line to the curve at the given point.
y = 4e^x + x, (0, 4)

Respuesta :

LammettHash
LammettHash LammettHash
  • 02-03-2017
[tex]y=4e^x+x\implies y'=4e^x+1[/tex]

At the point (0,1), the derivative has the value of [tex]y'=4e^0+1=5[/tex], so this is the slope of the tangent line. The equation for the line is then

[tex]y-4=5(x-0)\implies y=5x+4[/tex]
Answer Link

Otras preguntas

Which of the following best describes federalism? The ability of state and local governments to override the federal government The existence of a federal gover
Who supports federal student aid agencies ?
What is sound energy? Give two examples.
describe in a minimum of two complete sentences how menelaus tricks the Old Man of the sea
What is a warm front
nicole charges a flat fee of $3 to babysit, as well as $4 per hour. She earned $15 on Friday night. How many hours did she work?
Read the passage from “Like the Sun.” Truth, Sekhar reflected, is like the sun. I suppose no human being can ever look it straight in the face without blinking
Rita, a salesperson in a textile manufacturing company, makes a sales pitch to a representative of a garment manufacturing company. During the sales presentatio
what percent of 3,201= 2,750
An object with a mass of 450. grams is dropped off a 706m cliff. What is the velocity of the rock right before it impacts the ground.