Consider the function on the interval (0, 2). f(x) = sin(x) cos(x) + 8 (a) Find...
Consider the following function. f(x) = cos(x) - sin(x), (0, 2) (a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing х decreasing X (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative minimum (X,Y)...
answer and explanation please
Exam 2 - Password ready - Mat >> problem33.pdf x + → C w ebassign.net/web/Student/Assignment-Responses/submit?dep=23484596&tags#autosave question3851334 5 10. - 5 POINTS LARCALC11 3.3.047.0/2 Submissions Used Consider the function on the interval (0, 2). f(x) = 5 sin?(x) + 5 sin(x) (a) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Apply the First Derivative Test to identify all relative extrema. relative maxima (x, y)...
Consider the following function. f(x) = 5x + 81 - 2 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x,y) = relative minimum (X,Y)...
-15 points LARCALC11 3.3.019. Consider the following function. f(x) = x2 - 10x (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = relative...
2. for the function f(x)= x+2 cos x on the interval
[0,2pi] a. find the first derivative
b.) find the second derivative
c.) find the functions critical values(if any). include their y-
coordinates in your answers in order to form critical points.
d. )find the intervals on which f is increasing or
decreasing.
e. )find the local extrema of f.
f. )find the functions hyper critical values(if any). include their
y coordinates
g.) find the intervals of concavity, i.e. the...
Consider the following function (a) Find the critical numbers of any (Enter your answers as a comm o rated it) () Find the open intervals on which the function is increasing or decreasing (Enter your answers i nterval notation at an answer does not existente ONE) Increasing decreasing n ter ONE.) (0) Acolytheist Derivative Test to identify all relative extrema (tananswer does not e relative minimum Y)-(D relative maximum .Y)-(
Use the graph of F'(x) to answer questions about the function F(x). The domain of F(x) is (-00, ). This is the graph of F'(x). 12 4 8 14 18 (a) Find the critical values for F(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x= (b) Give the intervals where F(x) is increasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (c) Give the intervals where...
Consider the following function. f(x) = 2x3 + 3.r? – 120. (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.) Increasing: (-9,-5) (-5, 4) (4,0) (-00,00) Decreasing: (-, -5) (-5, 4) (4,-) (-09, ) (C) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) =...
Consider the following function fx) = 2x arctan (a) Find the critical numbers off. (Enter your answers as a comma-separated list.) (6) Find the open intervals on which the function is increasing or decreasing (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter ONE.) - relative maximum ( ) = relative minimum (X,Y)=( Need Help?...
Consider the equation below. f(x) = 6 cos2(x) − 12 sin(x), 0 ≤ x ≤ 2π (a) Find the interval on which f is increasing. (Enter your answer in interval notation.) Find the interval on which f is decreasing. (Enter your answer in interval notation.) (b) Find the local minimum and maximum values of f. local minimum local maximum (c) Find the inflection points. (x, y) = (smaller x-value) (x, y) = (larger x-value) Find the interval on which f is...