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人気のある微分積分 >

derivative of 2log_{6}(x)

解

\frac{d}{d x} (2 lo g_{6} (x))

解

\frac{2}{ln ( 6 ) x}

解答ステップ

\frac{d}{d x} (2 lo g_{6} (x))

定数を除去:

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

= 2 \frac{d}{d x} (lo g_{6} (x))

導関数ログの法則を適用:

\frac{d}{d x} (lo g_{a} (x)) = \frac{1}{x ln ( a )}

= 2 \cdot \frac{1}{x ln ( 6 )}

簡素化

2 \cdot \frac{1}{x ln ( 6 )} : \frac{2}{ln ( 6 ) x}

= \frac{2}{ln ( 6 ) x}

グラフ

人気の例

y^{''}+3y^'+2.25y=0

y^{^{''}} + 3 y^{^{'}} + 2.25 y = 0

derivative of 5e^x+4/(\sqrt[3]{x})

\frac{d}{d x} (5 e^{x} + \frac{4}{3 x})

(dy)/(dt)=7y^2t^3,y(2)=3

\frac{d y}{d t} = 7 y^{2} t^{3}, y (2) = 3

integral from 1 to 3 of t/(sqrt(3+t^2))

\int_{1}^{3} \frac{t}{3 + t ^{2}} d t

integral of (2x+3)/(x+2)

\int \frac{2 x + 3}{x + 2} d x