For the function, find the points on the graph at which the tangent line is horizontal...
Find f'(x) and find the equation of the line tangent to the graph off at x = 1. f(x) = (2+4x)(5 - 4x) f'(x)=0 y= Find the x and y coordinates of all inflection points. f(x) = x3 + 18x? What is/are the inflection point(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The inflection point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.)...
Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then sketch the graph. Add horizontal tangent lines. f(x)=4x4 -32x2 Compute the derivative of f(x). f'(x)= Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer using interval notation. Use a comma to separate answers as needed.) OB. The function is never increasing Select the correct choice...
Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x2 - 4xy + y2 + 6y +1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The loal maximum value(s) is/are (Type an exact answer. Use comma to separate answers as needed.) OB. There are no local...
nis Question: 10 pts Identify the coordinates of any local and absolute extreme points and inflection points. Graph the function yox? - 12x + 35. Identify the coordinates of any local maximum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A The local maximum point(s) islare (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no local maximum points Identify the coordinates of...
Sketch the graph of the following function. State where any intercepts occur, where asymptotes occur, where any relative extrema occur, where the function is increasing or decreasing, where any inflection points occur, and where the graph is concave up or concave down. 22 x² - 4 Determine the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA (Simplify your answer. Type an ordered pair Use integers or fractions for any...
For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither, b) identity intervals where the function is increasing or decreasing: c) give the coordinates of any points of infection, d) identity intervals where the function is concave up or concave down, and e) sketch the graph. 9x) x²64 a) What are the coordinates of the relative extrema? Select the correct choice below and, if necessary,...
Identify the coordinates of any local and absolute extreme points and inflection points. Graph the function. y=4x-9x4 / 9 Identify the coordinates of the local maximum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local maximum pointís) is/are (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local maximum points. Identify the coordinates of any local and absolute extreme points and...
Find the intervals on which the graph offis concave upward, the intervals on which the graph off is concave downward, and the inflection points. f(x)=x2-9x+3x+4 For what interval(s) of x is the graph off concave upward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. IA. (Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.) OB. The graph is never concave upward. For...
Please Label and circle answers, interval notation and ordered pair Find the intervals on which the graph of fis concave upward, the intervals on which the graph off is concave downward, and the inflection points. f(x)=x2 - 15x2 + 3x+3 For what interval(s) of x is the graph off concave upward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice OA. (Type your answer in interval notation. Type an exact answer. Use...
Find all local extrema for the function fix y -11) Find the local madma Select the correct choice below and necessary, fill in the answer box to complete your choice. O A. There are local maxima located at (Simplify your answers Type ordered pairs. Use a comma to separate answers as needed) OB. There are no local maxima Find the local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O...