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人気のある微分積分 >

derivative f(x)=2sin(x)

解

導関数

f (x) = 2 sin (x)

解

2 cos (x)

解答ステップ

\frac{d}{d x} (2 sin (x))

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (sin (x))

共通の導関数を適用:

\frac{d}{d x} (sin (x)) = cos (x)

= 2 cos (x)

グラフ

人気の例

laplacetransform e^{-2t}(t^2+4t+5)

l a pl a ce t r an s f or m e^{- 2 t} (t^{2} + 4 t + 5)

integral from a to 2a of (a-(a^3)/(x^2))

\int_{a}^{2 a} (a - \frac{a ^{3}}{x ^{2}}) d x

derivative of 2/(sqrt(x^2+5))

\frac{d}{d x} (\frac{2}{x ^{2} + 5})

integral of cos(x)cos(sin(x))

\int cos (x) cos (sin (x)) d x

limit as x approaches+5-of 5/((x-5)^3)

x \to + 5 - lim (\frac{5}{( x - 5 ) ^{3}})