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ืžื›ื™ืœ ืžื•ื“ืขื•ืชืจื›ื™ืฉื•ืช ืžืชื•ืš ื”ืืคืœื™ืงืฆื™ื”
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ืกื™ื•ื•ื’ ืชื•ื›ืŸ
ื›ื•ืœื
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš

ืžื™ื“ืข ืขืœ ื”ืืคืœื™ืงืฆื™ื” ื”ื–ื•

ื”ืื ืœื ื™ื“ืขืช ืฉื ื™ืชืŸ ืœืคืชื•ืจ ืืช ืจื•ื‘ ื‘ืขื™ื•ืช ื”ืžืชืžื˜ื™ืงื” ืฉืœืš ืขื ืื—ืช ืžืืคืœื™ืงืฆื™ื•ืช ืื ื“ืจื•ืื™ื“ ื‘ื—ื™ื ื? ืืคืœื™ืงืฆื™ื™ืช ืžื—ืฉื‘ื•ืŸ ืฉื™ืžื•ืฉื™ืช ื•ื™ืขื™ืœื” ื–ื• ืชื”ืคื•ืš ืœื—ื‘ืจ ื”ื›ื™ ื˜ื•ื‘ ืฉืœืš ื‘ืขื‘ื•ื“ื”, ื‘ื—ื™ื™ ื”ื™ื•ืžื™ื•ื, ื‘ื‘ื™ืช ื”ืกืคืจ, ื‘ืงื•ืœื’' ืื• ื‘ื›ืœ ืžืงื•ื ืฉื‘ื• ืืชื” ืœื•ืžื“.

ืžืขื‘ืจ ืœืืจื™ืชืžื˜ื™ืงื” ืขื ืžื—ืฉื‘ื•ืŸ ื”ืžืชืžื˜ื™ืงื” ืื• ื”ืžื—ืฉื‘ื•ืŸ ื”ืžื“ืขื™ ืฉืœ Desmos! ื‘ื ื•ืกืฃ ืœืคืขื•ืœื•ืช ื”ื‘ืกื™ืกื™ื•ืช, ื ืฆืœื• ืžื’ื•ื•ืŸ ืคื•ื ืงืฆื™ื•ืช ืžื•ื‘ื ื•ืช ืœื‘ื—ื™ื ืช ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื”, ืกื˜ื˜ื™ืกื˜ื™ืงื”, ืงื•ืžื‘ื™ื ื˜ื•ืจื™ืงื” ื•ืขื•ื“. ืœื—ืœื•ืคื™ืŸ, ื”ื’ื“ืจ ื•ื”ืขืจื™ืš ืืช ื”ืคื•ื ืงืฆื™ื•ืช ืฉืœืš - ื”ื›ืœ ื‘ื—ื™ื ื.

ืžื—ืฉื‘ื•ืŸ ื’ืจืคื™ื ื”ื•ื ืžื—ืฉื‘ื•ืŸ ื’ืจืคื™ื ืžื“ืขื™ ื”ืžืฉื•ืœื‘ ื‘ืืœื’ื‘ืจื” ื•ืžื”ื•ื•ื” ื›ืœื™ ืžืชืžื˜ื™ ื”ื›ืจื—ื™ ืขื‘ื•ืจ ืกื˜ื•ื“ื ื˜ื™ื ืžืชื™ื›ื•ืŸ ื•ืขื“ ืœืืœื” ืฉื ืžืฆืื™ื ื‘ืงื•ืœื’' ืื• ื‘ื™ืช ืกืคืจ ืœืชืืจื™ื ืžืชืงื“ืžื™ื, ืื• ืกืชื ื›ืœ ืžื™ ืฉืฆืจื™ืš ื™ื•ืชืจ ืžืžื” ืฉืžื—ืฉื‘ื•ืŸ ื‘ืกื™ืกื™ ืžืฆื™ืข. ื”ื•ื ื ื•ืขื“ ืœื”ื—ืœื™ืฃ ืžื—ืฉื‘ื•ื ื™ ื’ืจืคื™ื ืžื’ื•ืฉืžื™ื ื•ื™ืงืจื™ื ื•ืขื•ื‘ื“ ื‘ืื•ืคืŸ ื•ื™ืจื˜ื•ืืœื™.

ยง ืžืืคื™ื™ื ื™ื ยง

ืžื—ืฉื‘ื•ืŸ ืžืชืžื˜ื™ืงื” ื•ืžื—ืฉื‘ื•ืŸ ืžื“ืขื™
โ€ข ืฉื•ืจืฉ ืจื™ื‘ื•ืขื™, ืงื•ื‘ื™ื™ื” ื•ืฉื•ืจืฉื™ื ื’ื‘ื•ื”ื™ื ื™ื•ืชืจ (ื”ื—ื–ืง ืืช ืžืงืฉ โˆš)
โ€ข ืžืขืจื™ืš ืื• ื›ื•ื—, ื”ืฉืชืžืฉ ื‘ืžืงืฉ x^, (x^2)
โ€ข ืœื•ื’ืจื™ืชืžื™ื ln(), log(), log[base]()
โ€ข ืคื•ื ืงืฆื™ื•ืช ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื•ืช sin ฯ€/2, cos 30ยฐ, ...
โ€ข ืคื•ื ืงืฆื™ื•ืช ื”ื™ืคืจื‘ื•ืœื™ื•ืช sinh, cosh, tanh, ... (ื”ื—ื–ืง ืืช ืžืงืฉ "e" ื›ื“ื™ ืœืขื‘ื•ืจ)
โ€ข ืคื•ื ืงืฆื™ื•ืช ื”ืคื•ื›ื•ืช (ื”ื—ื–ืง ืžืงืฉ ืคื•ื ืงืฆื™ื” ื™ืฉื™ืจื”)
โ€ข ืžืกืคืจื™ื ืžื•ืจื›ื‘ื™ื, ื›ืœ ื”ืคื•ื ืงืฆื™ื•ืช ืชื•ืžื›ื•ืช ื‘ืืจื’ื•ืžื ื˜ื™ื ืžื•ืจื›ื‘ื™ื
โ€ข ื ื’ื–ืจื•ืช sin x' = cos x, ... (ื”ื—ื–ืง ืžืงืฉ x^)
โ€ข ืกื™ืžื•ืŸ ืžื“ืขื™ ื•ื”ื ื“ืกื™ (ืืคืฉืจ ื‘ืชืคืจื™ื˜)
โ€ข ืžืฆื‘ ืื—ื•ื–
โ€ข ืžืกืคืจื™ื ื‘ื™ื ืืจื™ื™ื, ืื•ืงื˜ืœื™ื™ื ื•ื”ืงืกื“ืฆื™ืžืœื™ื™ื, 0b1010, 0o123, 0xABC
โ€ข ืฉืžื•ืจ ื•ื˜ืขืŸ ื”ื™ืกื˜ื•ืจื™ื”

ืžื—ืฉื‘ื•ืŸ ื’ืจืคื™ื
โ€ข ื’ืจืฃ ืฉืœ ืคื•ื ืงืฆื™ื•ืช ืžืจื•ื‘ื•ืช
โ€ข ืคื•ื ืงืฆื™ื•ืช ืžืจื•ืžื–ื•ืช ืขื“ ืžื“ืจื’ื” 2 (ืืœื™ืคืกื” 2x^2+3y^2=1 ื•ื›ื•')
โ€ข ืคื•ื ืงืฆื™ื•ืช ืคืจืžื˜ืจื™ื•ืช, ื”ื–ื™ื ื• ื›ืœ ืื—ืช ื‘ืฉื•ืจื” ื—ื“ืฉื” (x=cos t, y=sin t)
โ€ข ืฉื•ืจืฉื™ ืชืคืงื•ื“ ื•ื ืงื•ื“ื•ืช ืงืจื™ื˜ื™ื•ืช.
โ€ข ื’ืจืฃ ืฆืžืชื™ื
โ€ข ืžืขืงื‘ ืื—ืจ ืขืจื›ื™ ื•ืฉื™ืคื•ืขื™ื ืฉืœ ืคื•ื ืงืฆื™ื•ืช
โ€ข ื”ื—ืœืง ื›ื“ื™ ืœื’ืœื•ืœ
โ€ข ืฆื‘ื™ื˜ื” ื›ื“ื™ ืœื”ืชืงืจื‘
โ€ข ื’ืจืคื™ื ื‘ืžืกืš ืžืœื
โ€ข ื˜ื‘ืœืื•ืช ืคื•ื ืงืฆื™ื•ืช
โ€ข ืฉืžื•ืจ ื’ืจืคื™ื ื›ืชืžื•ื ื•ืช

ืžื—ืฉื‘ื•ืŸ ืžื˜ืจื™ืงืก
โ€ข ืคืขื•ืœื•ืช ืืจื™ืชืžื˜ื™ื•ืช ืžื˜ืจื™ืฆื•ืช ื•ืงื˜ื•ืจื™ื•ืช
โ€ข ืชื•ืฆืจ ืฆื•ืœื‘ ื•ืงื˜ื•ืจ, ืชื•ืฆืจ ื ืงื•ื“ื•ืช (ื”ื—ื–ืงื” *) ื•ื ื•ืจืžื”
โ€ข ืคื•ื ืงืฆื™ื•ืช ื“ื˜ืจืžื™ื ื ื˜ื™ื•ืช ืฉืœ ืžื˜ืจื™ืงืก, ื”ืคื•ืš, ื˜ืจื ืกืคื•ื–ื” ื•ืžืขืงื‘

ื”ื•ืจื“ ืืช ื”ืืคืœื™ืงืฆื™ื” ื”ื—ื“ืฉื” ืฉืœ ืžื—ืฉื‘ื•ืŸ ืžืชืžื˜ื™ืงื” + ื’ืจืคื™ื, ืžื—ืฉื‘ื•ืŸ ืžื˜ืจื™ืงืก ื‘ื—ื™ื ื!!!
ืขื“ื›ื•ืŸ ืื—ืจื•ืŸ ื‘ืชืืจื™ืš
1 ื‘ื“ืฆืžืณ 2024

ืื‘ื˜ื—ืช ื ืชื•ื ื™ื

ื›ื“ื™ ืœืฉืžื•ืจ ืขืœ ื”ื‘ื˜ื™ื—ื•ืช ืฆืจื™ืš ืงื•ื“ื ื›ืœ ืœื”ื‘ื™ืŸ ืื™ืš ื”ืžืคืชื—ื™ื ืื•ืกืคื™ื ื•ืžืฉืชืคื™ื ืืช ื”ื ืชื•ื ื™ื ืฉืœืš. ื ื•ื”ืœื™ ืคืจื˜ื™ื•ืช ื”ื ืชื•ื ื™ื ื•ืื‘ื˜ื—ืช ื”ื ืชื•ื ื™ื ืขืฉื•ื™ื™ื ืœื”ืฉืชื ื•ืช ื‘ื”ืชืื ืœืฉื™ืžื•ืฉ, ืœืื–ื•ืจ ื•ืœื’ื™ืœ ื”ืžืฉืชืžืฉ. ื”ืžืคืชื— ืกื™ืคืง ืืช ื”ืžื™ื“ืข ื”ื–ื” ื•ื”ื•ื ืขืฉื•ื™ ืœืขื“ื›ืŸ ืื•ืชื• ืžื“ื™ ืคืขื.
ืœื ืžืชื‘ืฆืข ืฉื™ืชื•ืฃ ื ืชื•ื ื™ื ืขื ืฆื“ื“ื™ื ืฉืœื™ืฉื™ื™ื
ื”ื ืชื•ื ื™ื ืžื•ืฆืคื ื™ื ื‘ื–ืžืŸ ื”ื”ืขื‘ืจื”
ืื™ ืืคืฉืจ ืœืžื—ื•ืง ืืช ื”ื ืชื•ื ื™ื

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