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 company desires to sell a sufficient quantity of products to earn a profit of $280000. If the unit sales price is $16, unit variable cost is $12, and total fi
Who excommunicated the bishop of Constantinople in 1054?
How is temperature related to physical change of a substance?
A sequence of words forms a
A circle is shown. 2 tangents intersect at a point outside of the circle to form an angle with a measure of 70 degrees. The tangents intersect the circle at poi
What means that people with disabilities including visual, auditory, physical, speech, cognitive, and neurological disabilities can use the Web? A. CapacityB. W
The price of a car is x dollars and you get a 7.2% discount. Write the expression that represents the amount of the discount.
No 7 please I’m very confused THANKS :)
What does the term "affrays" most likely mean as used in paragrapgh 2?
In ΔDEF, the measure of ∠F=90°, FE = 84, ED = 85, and DF = 13. What ratio represents the sine of ∠E?