q 2.6 2.8 3.2 3.4 h(q) 384 529 729 1004 1383 Estimate h (3) using the table above. h' ( 3 ) ~Use the graph of m) above to estimate the value of f'(0) to one decimal place. f'(0)= Given the function f(ac) = -4a2 Find the difference quotient f(2 + h) - f (2) h Find f'(x) by determining lim f(x + h) - f(2) h-0 h Find f'(-2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1) Graph the function f(x) = -4x2 and draw the tangent lines to the graph at points whose x-coordinates are -2 , 0, and 1. - 14 -15 -16 17 Clear All Draw:Use the four-step definition of the derivative to find f'(ac) if f(ac) = 2x3 - 17. f (x t h) = f (act h) - f(2) = f(act h) - f(2) h f'(ac) =Objective [1.6] Let ac) 2 2.73:2 6.73: $+m-f@) h find ever better estimates of the derivative of f'(6) Using the difference quotient, for the following values of h: (enter values for f'(6) to nearest 0.0001 if necessary) h = 0.1: m =1 1 h : 0.01: m :1 1 h = 0.001: m :1 1 Consider the function 9(3) : v 5.11: + 6 . Fill in the missing information in the table below. (Round your answers at least 3 decimal places.) b 9(5) - 9(3) b 3 3-1 i i 3.01 i i 3.001 \\ \\ Use the numbers in this table to estimate the derivative 9' (3) The graph of the function f(:1:) : 3 is given below: m fix) 2 I" i (ii) Find the function's rate of change at a: = 3: ' (iii) Find the slope of the tangent line to the graph of the function at :1: : 1: A marketing specialist determines that when a certain product is released, the number of social media references to it can be modeled by f(t) = 550 + 334 111(t) where t is the number of days since the release. Determine f'(t) : ' \"15) : i. ,1 Which of the following is the best interpretation of f(16) : 1476? |Select an answer v| Which of the following is the best interpretation of f'(5) : 67? |Select an answer v| Question Help: E] Video Q Post to forum