Angieda4msshatt Angieda4msshatt
  • 24-11-2016
  • Mathematics
contestada

Find an equation of the tangent line to the graph of the function f(x) = 2sinx at the point where x = pi/3.

Respuesta :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 25-11-2016
The equation of the tangent line of f(x) is given by y = f'(x)x + c
f(x) = 2sin x
f'(x) = 2cos x

At x = pi/3
f'(pi/3) = 2 cos(pi/3) = 1
f(pi/3) = 2 sin(pi/3) = √3
√3 = 1(π/3) + c
c = √3 - π/3

Therefore, required equation is
y = x + √3 - π/3
Answer Link

Otras preguntas

How does the United States' GDP compare with the rest of the world
Examples of primary sources would include _____. letters commentaries artifacts fictional literature
Which Roman statue has influenced many modern monuments dedicated to war heroes?
When magma intrudes parallel to another rock layer, the formation is called a(n) a. sill. b. dike. c. extrusion. d. unconformity.
throught which of these media do sound waves travel most slowy
what event occured thirteen years after Uncle Toms Cabin was written
Megan hiked 15.12 miles in 6.3 hours is Meghan hike the same number of miles each hour how many miles did she hike each hour
When it was a French colony, Haiti was called _____. Martinique Río de la Plata St. Domingue Guadeloupe
What does the religion, Sunni Islam, say about war, and fighting?
what's does due mean.