Plz help
x -3 0 3 4
f(x) 5 -1 2 7
f'(x) -2 4 0 1
The table above g...
Mathematics, 13.10.2020 01:01 lelliott86
Plz help
x -3 0 3 4
f(x) 5 -1 2 7
f'(x) -2 4 0 1
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(2x−x2) .
(a) What is the value of g′(−1) ?
(b) It is known that g′′(0)=0. What is the value of f′′(0) ?
(c) Is there a value c, for 0
(d) Let h be the function with first derivative given by h′(x)=4xex. At what value of x in the interval 0≤x≤4 does the instantaneous rate of change of h equal the average rate of change of f over the interval 0≤x≤4 ?
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