VA Math 1411 Section 33 x c Search 08AIC C www web assign net/ Responses randomi
ID: 2876382 • Letter: V
Question
VA Math 1411 Section 33 x c Search 08AIC C www web assign net/ Responses randomize?pos 7&dep; 14346156 web/Student/Assignment Need Help? Read It wateh lt Talk to a Tutor Calc 1033.026. Consider the following function. fox) x4 32 3 ritical numbers of f. a) Find the Entel omma separated list (b) nd the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter ONE (c) Apply the First Derivative Test to identify the relative extremum. (If an answer daes not exist, entar DNE.) elative maxi Need Help? Readin Talk to ntor 5,55 points Previ Cal C10 33.035. 15 Submissio Consider the following function. (a) Find the critical numbers of f. (Enter your answers as a comma-saparated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.) Ask me anything My Noles Ask Your Te My Note Ask Your Teache A 4 11:35 PM ENG 06/2016Explanation / Answer
1 f (x) = x4 - 32x +3 =0 => f '(x) = 4x3 - 32 =0 => x =2 ; f '' (x) = 12x2 at x=2 : f ''(2) = 48 > 0
x=2 is the point of minimum hence the function is decreasin from - infinity to 2 and increasing from 2 to inf
x= 2 is the critical point
2 . f(x) = x2 / ( x2 -16 ) = 1+ 16 / (x2 -16) =. f '(x) = -32x / [( x2 -16 )2] =0 => x=0
f ''(x) at x= 0 i ,0 hence x=0 is the point of maximum , x=0 is the critical point
the fn is incresing in the interval - inf to 0 and decreasing in the interval 0 to inf
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.