When do I use f(x+δx) ≈ f(x) + f'(x)·δx in Application of Derivatives, and what does it mean?
linear approximation using the derivative.
f(x+δx) ≈ f(x) + f'(x)·δx — linear approximation using the derivative. Use it when: small δx. Always check the condition holds before plugging in numbers.
Key point
f(x+δx) ≈ f(x) + f'(x)·δx
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