Plz solve this all parts with explanations how it wil come every point take your time and also solve on the white paper. Graph of /"2. The figure above shows the graph of f, the derivative of a twice-differentiable function f. on the closed interval [0, 4).The areas of the regions bounded hy the graph of f and the x-axis on the intervals (0, 1). [1, 2). [2. 3), and (3, 4) are2,6, 10, and 14, respectively. The graph of f'has horizontal tangents at x=0.6, x=1.6.x= 2.5, and x= 3.5. It is known that A2) =5.(a) On what open intervals contained in (0, 4) is the graph ofƒboth decreasing and concave down? Give areason for your answer.(b) Find the absolute minimum value of fon the interval (0, 4). Justify your answer.(c) Evaluate f(x)f'(x\dx .(d) The function g is defined by g(x) =x' fx). Find g' (2). Show the work that leads to your answer.Page 19

For f to be decreasing, f' have to be negative. And as per the graph, f' is negative inside the…

Graph of f 2. The figure above shows the graph of f, the derivative of a twice-differentiable function f on the dosed interval (0, 4). The areas of the regions hounded hy the graph of f and the x-anis on the intervals (0, 1L (1, 2), [2.31. and (3, 4) are 2,6. 10, and 14. respectively. The graph olf has horizontal tangents at x=06,x=16 x=2.5, and x= 3.5. It is known that f2)=5. (a) On what open intervals contained in (0, 4) is the graph offboth decreasing and concave down? Give a reason for your answer (b) Find the absolute minimum value of fon the interval (0, 4). Justify your answer. (e) Evaluate fix)f(z\dx. (d) The function g is defined by glx) =x'fx. Find g'(2). Show the work that leads to your answer. Page 19

Graph of f 2. The figure above shows the graph of f, the derivative of a twice-differentiable function f on the dosed interval (0, 4). The areas of the regions hounded hy the graph of f and the x-anis on the intervals (0, 1L (1, 2), [2.31. and (3, 4) are 2,6. 10, and 14. respectively. The graph olf has horizontal tangents at x=06,x=16 x=2.5, and x= 3.5. It is known that f2)=5. (a) On what open intervals contained in (0, 4) is the graph offboth decreasing and concave down? Give a reason for your answer (b) Find the absolute minimum value of fon the interval (0, 4). Justify your answer. (e) Evaluate fix)f(z\dx. (d) The function g is defined by glx) =x'fx. Find g'(2). Show the work that leads to your answer. Page 19

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

See similar textbooks