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

To prevent accidental poisoning, you should NOT __________. a. mix chemicals in well ventilated areas b. follow the instructions on the label c. keep materials
Children and teenagers should receive vaccinations whenever it is convenient
When is a semi colon necessary
Scientific investigations often lead to the formulation of new scientific questions. The observations Charles Darwin made during his time aboard the H.M.S. Beag
how do you work this problem? 5+1/7b=-2
In 1885 Alexander graham bell helped set up a company to build
Which definition best describes the Great Game?
A textbook is best described as which of these kinds of writing? expository prose fiction 4 writing scientific writing
The Neoclassicists viewed man as a being who existed within certain boundaries; the Romanticists saw man as capable of limitless achievements.
34% of what number is 51