can you solve these problems with derivative (local max,min,
concavity etc.) also, can you find its extrema and show the
graph?
can you solve these problems with derivative (local max,min, concavity etc.) also, can you find its extrema and show the graph? 2 2-4 tį 2 2-4 tį
4. (14) Use the second derivative test to find the local max and local min values of f(x)=xsin x+cosx on the interval 4 - Зл 9
4. (14) Use the second derivative test to find the local max and local min values of –л 3л f(x) = xsin x+cosx on the interval 4 4
Find the following values Answer choices for C: Point of Inflection Local Max Local Min Zero Answer choices for D 1. is continuous is not continuous does not exist 5. POI local max local min zero The graph of of f(t) is given below. f(t) is a semicircle for 4 < t < 6. Let g(x) = { $(t)dt a. Find the following values. 1. g( - 1) = 2. g(1) = 3. g(4) = 4. 9(6) = b. Find...
-SHOW ALL WORK For all four problems include a graph (use your calculator) or draw a labeled diagram where appropriate. 1. Maxima, minima, points of inflection Given the function y = x(x-4) take derivatives and find critical points, local extrema, and points of inflection a. y'= Graph critical points ( ) ( ) b. y" = y y → ) max:( min:( iPad points of inflection ) ) Y→
4. (a) A function f has first derivative f'(x) and second derivative 2 f" (x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. 3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (iii) Use the second derivative to examine the...
Can you please show me how to find the absolute max and min of this? Please show 4 decimals. 2 foc) = 0.504 + 4 x3 3x +4 3 on [0,2 Please show all your work and show your steps. Use BLACK PEN AND PAPER. No typing. Clearly explain your answer and the steps you take. Write neatly, no cursive, and write in a linear fashion.
Problem 4. Find the derivative of the faction yan" - VI Problems. Find the derivative of the function y=sin( 2.1) Problem 6. Find the derivative of the function (x) - sinh(x'). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. (a) lime (b) lim ( sinx Inx) I Problem 8. Sketch the graph of a functionſ that is continuous on [1, 5] and has absolute minimum at 2, absolute maximum at 3, local minimum at 4. Problem 9. Sketch...
Could you label and explain how to get each term? Thank you! 3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following function, using information such as intervals of increase and decrease, relative extrema, intervals of upward and downward concavity, and inflection points: g(x) 3x4 +4.x Pro):-I -2 16 3 a7 al 16 min(-1,-1) y " 30+24K: 12x(3x+2) t ip. (oo) 2 3 3. Find the equation of the tangent line to...
please write step by step so i can follow along. thank you 4) Let (2) = 2* - 202. (a) Use the Closed Interval Method to determine the absolute extrema of S on the interval (0,2). (b) Sketch showing the intercepts on the axes, the local extrema, and concavity the entire graph of f. (5 marks) [10 marks]
4. (a) A function f has first derivative f') and second derivative It is also known that the function f has r-intercept at (-3,0) and a y-intercept at (0,0) 0) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. (ii) Use the f'(x), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points that are...