unigirl456 unigirl456
  • 02-04-2020
  • Mathematics
contestada

y= (1/2)x + cosx on the interval -2 pi ≤ x ≤ 2 pi. use the second derivative test ti find the local extrema of f

Respuesta :

surjithayer10 surjithayer10
  • 02-04-2020

Answer:

Step-by-step explanation:

y=(1/2)x+cos x

dy/dx=1/2-sin x

dy/dx=0,gives

1/2 -sin x=0

sin x=1/2=sin (π/6),sin (π-π/6)=sinπ/6,sin 5π/6=sin (2nπ+π/6),sin(2nπ+5π/6),n∈ I

d^2y/dx^2=-cos x>0 at x=π/6 and -2π+π/6

or at x=π/6,-11 π/6

Answer Link

Otras preguntas

Why does an electrolyte conduct electricity? (IF ANSWER IS GOOD AND CORRECT I WILL GIVE BRAINLIEST)
yo mm How your answer to the nearest tenth. (Use 3.14 for a The model below is composed of a rectangle and a semicirce. Find the area of the figure, Round 36 m
A light bulb in Keisha's house uses a total of 4.86 watts of electric power. If the light bulb uses 5.4 watts each minute it is on, how many minutes was it on?
help pls with O ill give brainliest
which herbs are useful from cosmetic point of view ? also name the products made from them​
The most-favored nation clause meant that: a France and the United States had the same trade rights as Great Britain. b Great Britain could try its own citizen
Help me please i'm stuck
What type of governments existed in the USSR, Italy, Germany and Japan prior to WWII?
Work out the size of angle x give a reason for your answer
How have ukrainians reacted to news of the potential invasion?.