Practice question · Estimate
Use the linear approximation at to estimate , then set the slider. (, .)
Estimate on a scale from 3.9 to 4.2.
Hints
- Anchor at the friendly point: , slope .
- Follow the tangent: .
Show the answer
4.05 (answers within ±0.015 count)
Why
(true value 4.0497…). Near the anchor, the tangent line is the function to within a whisker, the idea behind every calculator’s first guess and every "small correction" in physics.
Practise Graphs, approximation, and numerical sense
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