Homework 4 Score: 0/70 0/7 answered Question 1 The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tangent. 10 -9 -8 -7 -6 -5 4 -3 - 2 -7 1 2 3 4 5 6 7 8 9 /16 Question Help: Video Submit QuestionHome > MTH 181 Fall 2023 > Assessment Homework 4 Score: 0/70 0/7 answered Question 2 Use the interactive graph to determine the value of a when f'(x) = -1 x = 9 y N 1 C -5 -4 -3 -2 -1 2 3 4 5 6 -2 nd = 1.35 -4 I T - Submit QuestionMIH 181 Fall 2023 > Assessment Homework 4 Score: 0/70 0/7 answered Prog Question 3 Part 1 of 3 Let f (x) = 8x2 - 7. Using the definition of derivative at a point, f'(a) - lim f (x) - f (a) T - a enter the expression needed to find the derivative at x = 6 as well as the equation of the tangent line. f'(6) =lim 1 +6 Submit PartHomework 4 Score: 0/70 0/7 answered Question 4 The slope of the tangent line to the curve y = - at the point ( 8, ) The equation of this tangent line can be written in the form y = mx + b where: m is: b is: Submit QuestionHome > MTH 181 Fall 2023 > Assessment Homework 4 Score: 0/70 0/7 answered Question 5 Let f (x) = V17 - x. Compute f'(8) using the limit definition f' (8) = Find an equation of the tangent line at x = 8 y = Submit QuestionHomework 4 Score: 0/70 0/7 answered Question 6 Let f (x) = 8 - 22 The slope of the tangent line to the graph of f () at the point (-2, 4) is The equation of the tangent line to the graph of f (x) at (-2, 4) is y = ma + b for m = and b = Hint: the slope is given by the derivative at x = -2, ie. lim f ( 2 + h) - f(-2) h -+ 0 h Question Help: Video Submit QuestionHome > MTH 181 Fall 2023 > Assessment Homework 4 Score: 0/70 0/7 answered Progress Question 7 and draw the tangent lines to the graph at points whose x-coordinates are -2 , 0, and 1. 6 4 -3 -2 N Clear All Draw: f ( x + h ) - f (z ) Find the difference quotient h f ( z th ) - f (z ) Find f'(z) by determining lim h-+0 h Find f'(-2) (This slope should match the tangent line you drew above.) Find f'(0) Find f' ( 1 ) Submit