Find the derivative of eˣ at x = 0
Use a numeric derivative to confirm that the derivative of the exponential at 0 is 1.
Solution
- Function f(x) = exp(x)
- Point a = 0, f(a) = 1
- Central difference f'(a) ≈ (f(a+h) − f(a−h)) / 2h with a small h
- Derivative f'(0) ≈ 1
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