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

A ________ is an example of a first-line manager.
Sorting Similarities and bitterer Try it Abel Sort each characteristic of a culture into the correct category Both Maori Haida were known as Warriors were known
A metal has a mass of 35.4 g and volume 3.11 ml. Find the density of this metal
5/8 is the fraction that if added to 3/8 gives you the sum of 1 whole
Anders throws a 10-faced dice with numbers from 1 to 10. Then he spins a coin. b) Find the probability of scoring: i) a head and a multiple of 3 ii) a tail and
112 g of aluminum carbide react with 174 g water to produce methane and aluminum hydroxide in the reaction shown below. 2 Al4C3(s) + 12 H2O(l) → 3 CH4(g) + 4 Al
What type of organism makes its own food?
Considere as seguintes afirmações: I. O inverso de 0,2 é 5. II. O triplo de \frac{2}{5} é \frac{6}{15}. III. A metade de 0,5 é \frac{1}{4}. É(são) verdadeira(s)
Which religion established the concept of monotheism? A - Islam B - Judaism C - Christianity D - Buddhism
Please help will mark you brainliest