Re: [微分] 不知道怎麼寫!!
※ 引述《victor7935 (victor)》之銘言：
: The period P of the small oscillations of a simple pendulum
: is related to the length L of the pendulum by the equation
: T = 2π√L/g
^^^^? ^^^^^^?
: where g is the constant acceleration of gravity.
: Shoe that a small change dL in the length of a pendulum produces
: a change dP in the period that satisfies the equation
: dP 1 dL
: --- = -- --
: P 2 L .
: Thanks!!
dP d L π
---- = --- 2π √(---) = -------
dL dL g √(Lg)
π
∴ dP = ------ dL
√(Lg)
dP π 1 g 1 dL
---- = -------- * --- √(---) dL = --- ---
P √(Lg) 2π L 2 L
--
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