Please be sure of the answers as its a confusing topic , i have a test tomorrow based on it . pl...
Graph off 2. The figure above shows the graph of f', given by f'(x) = ln(x2+1) sin(x*) on the closed interval (0,3). The function f is twice differentiable with f(0) = 3. (a) Use the graph of f' to determine whether the graph of f concaves up or concaves down on the interval 0<x<1. Justify your answer. (6) On the closed interval (0,3), find the value of x at which f attains its absolute maximum Justify your answer. (c) Find...
Question 3 2 pts Please do not use a calculator for this problem. रिकार 2 2 3 4 5 (5.-1) Graph of f' Let f be a function defined on the closed interval -5 58s 5 with f(1) = 3. The graph of the derivative off, consists of two semicircles and two line segments, as shown above. (a) For -5 <x< 5, find all values x at which f has a relative maximum. Justify your answer. (b) For -5 <...
please show all your work i am really trying to understand how to solve these Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = 32x+32 at (1,8) Show all of your work on paper and submit it on canvas. your won't get The equation of the tangent line to the graph of f(x) at the given point is Find the equation of the tangent line to the graph of f(x) at...
3c and 3d 3. Given the function defined by fx)-2x3x-12x+ 20. a) By using Rational Root Theorem and Synthetic Division, write flk) as a product of its factors dentily the zeros. b) The slope function can be found by using the formula: (lnxWrite the equation of the line tangent to the graph offat x 0. c) A tangent line drawn to the graph of f is said to be a horizontal tangent or parallel to x-axis if the slope is...
show all work, no written work f(x)= Vx? -2.Vx -3 Given: %3D a. Investigate the function by these criteria: 1) Domain; 2) Axis intersections; 3) Asymptotes (show the relevant limits) 4) Intervals of increase and decrease; 5) Points of relative extremum; 6) Intervals of concavity (upward or downward); 7) Inflection points. 8) Draw the function's graph. b. Find the equations of the tangent lines to the graph of the function at all extremum and inflection points, and add them to...
please show all your work i am really trying to understand how to solve these Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = In(3x-2) at (1,0) Find the derivative of the function, y = - 3xIn(x+1) Show all of your work on paper dy I dx Find the largest open intervals on which the function is 1. Increasing 2. Decreasing 3. Concave upward 4. Concave downward 3. find the location...
can i het help with this question please The graph and equation of the function f are given. a. Use the graph to find any values at which f has a relative maximum, and use the equation to calculate the relative maximum for each value b. Use the graph to find any values at which f has a relative minimum, and use the equation to calculate the relative minimum for each value. fx)-2x3+3x2 -12x+7 I-5.5.1] by I-35,35,5] a. Select the...
I need a detailed answer please 2) (11 points) The below figure shows the graph of derivative function f '(x) of a function f(x). The domain of f(x) and f(x) are (-0,0). Use the figure to answer the following questions मिनि a) Find all critical numbers of f(x). b) Find the open intervals on which the function f(x) is increasing. f(x) is increasing on c) Find the open intervals on which the function f(x) is concave up. f(x) is concave...
1. You must SHOW ALL YOUR WORK on the test to receive full credit. 2. Print your name and Id# on the top of the first page. 3. Always give the exact answer(s) in the simplest form unless it's specified otherwise. 4. Box your final answers. GOOD LUCK! 1) (11 points) Find all critical numbers of f(x)=x-Vx. (Show all five steps.) 2) (11 points) The below figure shows the graph of derivative function f '(x) of a function f(x). The...
please answer all the following parts neatly. thank you Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f)-sinx (5) . On graph paper, sketch the graph of -sinx and draw a tangent line...