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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
The derivative of a function f is given by f'(x)=0.12 + e0.25. At what value of x for >0 does the line tangent to the graph of ƒ at a have slope 2?
A 0.512
B
1.849
2.287
D 8.113
W
I
228
0
1
1
f(z)
Let f be the function given by f (z) 2. Selected values of f are given in the table above. If the values in the table are used to approximate f' (0.5), what is the difference between the approximation and the actual value of f' (0.5)?
A
0
B
0.433
0.567
1
T
1
2
3
4
5
f(x)
2
3
5
6
14
elected values of a function fare shown in the table above. What is the average rate of change of f over the interval [1,5]?
B
D
14-2
1442
511
213 5 6 14
5
The function f is given by f (x)=1+3 cos z. What is the average rate of change of f over the interval [0, ]?
A
c) 2
1
7
6.
54
32
2.
1
1
2
3
4
Graph of f
The graph of f', the derivative of a function f, is shown above. The points (2, 6) and (4, 18) are on the graph of f. Which of the following is an equation of the line tangent to the graph of fat 2-2?
A
y=2x+1
y=5x-4
C y=5x-10
y=6x-6
estion 9 17
y
AB
C
X
a
b
Graph of f
The graph of the trigonometric function f is shown above for a zb. At which of the following points on the graph of ƒ could the instantaneous rate of change of fequal the average rate of change of fon the interval [a, b]?
A
A
B
C
D
D
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