(x) -3 0 3 6 f(x) -5 4 1 7
f'(x) -1 2 -2 4
The table above gives values of a twice-differentiable function f and its first derivative f′ for selected values of x . Let g be the function defined by g(x)=f(x^2−x).
(a) What is the value of g′(3)?
(b) It is known that g′′(0)=−1 . What is the value of f′′(0)?
(c) Is there a value c , for 0 (d) Let h be the function with derivative given by h′(x)=4ecosx . At what value of x in the interval −3≤x≤0 does the instantaneous rate of change of h equal the average rate of change of f over the interval −3≤x≤0 ?

Zroms according to the synthetic division below, which of the following statements are true? check all that apply. 352 -2 6 -12 12 2 4 0 i a. (x-3) is a factor of 2x2 - 2x - 12. b. the number 3 is a root of f(x) = 2x2 - 2x - 12. c. (2x2 - 2x - 12) = (x + 3) = (2x + 4) d. (2x2 - 2x-12) - (x-3) = (2x + 4) e. (x+3) is a factor of 2x2 - 2x - 12. o f. the number -3 is a root of fx) = 2x2 - 2x - 12. previous

What does the sign of the slope tell you about a line?

Ascientist places 24 cells in a petri dish. she knows the cells grow at an exponential rate, doubling in number every hour. how long will it take (in hours) for there to be 1100 cells in the dish? time to 1100 cells: 5.51832530 hours how long will it take to reach 110 cells? time to 110 cells : 2.1963972 hours what is the average rate of change in the number of cells between 9 hours and 11 hours? average rate of change: cells per hour what is the instantaneous rate of change after 7 hours? instantaneous rate of change: cells per hour note: you can earn partial credit on this problem.