q 0.4 0.8 1.2 1.6 2 Ma) 5 11 25 53 133 Estimate h'(1.2) using the table above. Use points on either side of the given point for your estimate. Round to 3 decimal places if necessary. (Use the points on either side of 1.2) 111.2) 1 1 Use the four-step definition of the derivative to find f'(x) if f(x) = 6x - 2. f (a t h ) = f ( act h) - f(2) = f(act h) - f(2) = h f'(2) =Objective [1.6] Let f(:1:) = 4.8:]:2 2.62: x + h) x) h find ever better estimates of the derivative of f'(7) Using the difference quotient, for the following values of h: (enter values for f'(7) to nearest 0.0001 if necessary) h = 0.1: m 2' ' h = 0.01: m =' ' h = 0.001: m =l l Question Help: D Post to forum Consider the function f(:c) = 33:2 7 . Fill in the missing information in the table below. (Round your answers to at least 3 decimal places.) h m + h) - W) + .1 l l .01 l l .001 l \\ Use the numbers in this table to estimate the derivative f' (2) f'l2) xi \\ Question Help: D Post to forum Consider the function 9(3) = V 43: + 2 . 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 l l 3.01 l i 3.001 l \\ Use the numbers in this table to estimate the derivative g'(3). 9"(3) El l Question Help: D Post to forum Consider the function f(a:) = 3:i:2 9 . Fill in the missing information in the table below. (Round your answers to at least 3 decimal places.) h f(2 + h) - f(2) h .1 -12.3 .01 l l .001 l l Use the numbers in this table to estimate the derivative f' (2) fl?) ml l Question Help: D Post to forum Mp 1. Consider the function 9(3) = V358 + 9 . Fill in the missing information in the table below. clude at least 3 decimal places in your answer.) b 9(5) - 9(3) 1) 3 3.1 l l 3.01 l i 3.001 l l Question Help: D Post to forum Use the four-step definition of the derivative to find f'(x) if f(x) = 6x3 + 19. f (x t h) = f (x t h) - f(2) = f(act h) - f(x) = h f'(x) = Question Help: D Post to forumUse the four-step definition of the derivative to find 3\" (:13) if f(:I:) = 55132 + 4:1: 10. f(m+h)=i i f(m+h)f(m)=i i f($+h)f($)=' ' h x) =i Question Help: D Post to forum 1 2m3. Suppose that f is a function given as ar) = Simplify the expression a: + h). f(m+h)=l i x + h) w) h . m + h) f(:v) z' i h -. . Simplify the difference quotient, The derivative of the function at a: is the limit of the difference quotient as h approaches zero. f(m + h) - m) ' f a a: 211111 = 'H ) h>0 h ' Suppose that f is a function given as m) = 6m + 7. We will compute the derivative of f at a: = 4 as follows. First, we will compute and simplify the expression f(4 + h). f(4 + h) =l l Then we compute and simplify the difference quotient between a: = 4 and :1: = 4 + h . f(4 + h) f(4) _ 1 h ' . The derivative of the function at a: = 4 is the limit of the difference quotient as h approaches zero. 1:14) 2%% f(4+ h; _ f(4) = ' The limit below represents the derivative of some function f(a:) at some number a. 4 5 lim w hr-O h State the function and the number: rs) =i