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人気のある微分積分 >

derivative of y=log_{2}(x)

解

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

解

y = x lo g_{2} (x) - \frac{x}{ln ( 2 )} + c_{1}

解答ステップ

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

f^{^{'}} (x) = g (x)

であれば

f (x) = \int g (x) d x

y = \int lo g_{2} (x) d x

\int lo g_{2} (x) d x = x lo g_{2} (x) - \frac{1}{ln ( 2 )} x + c_{1}

y = x lo g_{2} (x) - \frac{1}{ln ( 2 )} x + c_{1}

簡素化

y = x lo g_{2} (x) - \frac{x}{ln ( 2 )} + c_{1}

人気の例

derivative derivative of ln(1/x)

d er i v a t i v e \frac{d}{d x} (ln (\frac{1}{x}))

置換 integral of (((x^3))/((x^4-5))),u=x^4-5

s u b s t i t u t i o n \int (\frac{( x ^{3} )}{( x ^{4} - 5 )}) d x, u = x^{4} - 5

limit as x approaches 1-of ((x-1))/((x^2-4))

x \to 1 - lim (\frac{( x - 1 )}{( x ^{2} - 4 )})

勾配 (-3,3),(5,9)

s l o p e (- 3, 3), (5, 9)

limit as x approaches-infinity of ((sqrt(x^4-1)))/((x^3-1))

x \to - \infty lim (\frac{( x ^{4} - 1 )}{( x ^{3} - 1 )})