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AssignmentMultiple Choice

Derivatives of Functions

Question 1 • AP Calculus AB - MA5186 A

Approximate the numerical derivative for f(x) = x2 at a = 1 with h = 0.0001.

Answer
A
0
B
1
C
2
D
3

Explanation

Use the forward-difference formula: [f(a + h) − f(a)]/h. With f(x) = x², a = 1, and h = 0.0001, this is [(1.0001)² − 1²]/0.0001 = 2.0001, which is approximately 2. The correct choice is 2.

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