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(B)
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For f (x) = 5x, what is the estimate of f ′(2) obtained by using the
symmetric difference quotient with h = 0.03?
25.029
40.236
40.252
41.223
80.503
To how many places is the symmetric difference quotient accurate when
it is used to approximate f ′(0) for f (x) = 4x and h = 0.08?
1
2
3
4
more than 4
To how many places is f ′(x 0 ) accurate when it is used to approximate f
′(0) for f (x) = 4x and h = 0.001?
1
2
3
4
more than 4
The value of f ′(0) obtained using the symmetric difference quotient with
f (x) = |x| and h = 0.001 is
−1
0
±1
1
indeterminate
If and h(x) = sin x, then equals