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ml-recall

#numerical-differentiation

1 question from Optimization & Calculus

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Question 1: Short answer

hardAI-checkedOptimization & Calculus

In float64, the forward difference ((1+h)2−12)/h\big((1 + h)^2 - 1^2\big)/h estimates the derivative of x2x^2 at x=1x = 1, which is 2. What does it return for h=10−15h = 10^{-15}? Round to 2 decimals.

a number, 2 decimals