7) Find the average rate of change between x = -6 and x = 0. 8) Find the average rate of change over the interval (-2, 2]. 9) Find the average rate of change between x = 2 and x = 6. 10) Find the average rate of change over the interval (-4, 2).
Consider the following function. f(t)4t5 Find its average rate of change over the interval [1, 4] At Compare this rate with the instantaneous rates of change at the endpoints of the interval f(4) Need Help? Read It Watch It Talk to a Tutor Consider the following function f(x)x18x 2 Find its average rate of change over the interval [-9, 1]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval f-9) f(1) Need...
Consider the following function. f(x) = x2 + 5x − 6 Find the average rate of change of the function over the interval [0, 1]. Change in y/change in x = Compare this rate with the instantaneous rates of change at the endpoints of the interval. f'(0) = f '(1) = Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 455 + 6.75x2/3 dC/dx = dollars per unit
101 8 7 6 5 4 2 r -10 -3 -6 4 10 -7 Give numeric values for each of the following. Write "DNE" if the value does not exist and "0" or "-20" as appropriate. lim f'(-8) = lim f(x) = 1() de f(3+At) - (3) lim (1) = lim A- lim f(x) - (2) 12 I-2 lim f(1) = limf(1) =
7,8,11,12,19,21,24 Find the average rate of change of each function on the interval specified. 5. ༼(x) = ན on [,5] 6. q(x)=r on [4, 2] 7, g(x)= 3r -1 on [3,3] 8 h(x) =5-2r on [2. 4] 10. p0=! - +| on[3] 9. f(0) = 6 +m 1:1.3] Find the average rate of change of each function on the interval specified. Your answers will be expressions involving a parameter (b or h). IL ༼(x) =4x -༡ on [1, bj 12....
2.2/ 14 Find the average rate of change of the function f(x)=f(x)= 1x2−5x−41x2-5x-4, from x=0 to x=4. Note, the directions are equivalent to "Find the average rate of change over the interval [0,4]". Average rate of change =
(5 points) For the function y = 5x2: (a) Find the average rate of change of y with respect to x over the interval [5,7). (b) Find the instantaneous rate of change of y with respect to x at the value x = 5. Average Rate of Change: | Instantaneous Rate of Change at x = 5: (5 points) Let f(x) = 3x + 3x + 2 Use the limit definition of the derivative to calculate the derivative off: f'(x)...
When f(x) = 3x² + 2x +ă find the rate of change by finding hange by mindig f(b)-f(a) b-a f(6) - f(a) b - a Preview When f(x) = 3x² + 6x + 2, find the rate of change by finding f(0) - f(a) f(6) - f(a) b - a P review h(b) – h(a) When h(t) = 2t + 3t - 6, find the rate of change by finding – 2 When b=9 and a=3 h(9) – h(3) 9-3...
y 4 3 2 O 1 -4 -2 - 1 1 2 3 4. D 6 7 8 9 -1 . lim f() lim f (x) (t) lim f (x) (a) +-3 (g) +0 lim f (x) (b) +-3+ (h) 1+0+ lim f (1) limf (1) (c) 17-3 (i) 2-0 lim f (x) (d) () 1-2- limf () lim f (x) (e) 16-27 (k) 1+2+ lim f (x) (1) 2+2 lim f(x) (m) +4- lim f (0) lim f(x) (s)...
4) Compute the average rate of change of f(x) = -2 x² + 3x - 1 over the interval (-2, 6). Clearly present the formula being used to compute the average rate of change.