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Antiderivatives
Undoing a derivative — and why +C matters · BC Calculus · greeting
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Given: h′(t) = 4t
Find possible h(t)
▶
Same slopes
Different starting heights
→ family of curves
▶
Guess → differentiate → fix +C with a point
Owl:
Before we name formulas, guess one candidate and check it by differentiating. Then ask: is yours the only possible height function?
You:
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