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人気のある微分積分 >

derivative (6x^2+8)^6

解

導関数

(6 x^{2} + 8)^{6}

解

72 x (6 x^{2} + 8)^{5}

解答ステップ

\frac{d}{d x} ((6 x^{2} + 8)^{6})

連鎖法則を適用:

6 (6 x^{2} + 8)^{5} \frac{d}{d x} (6 x^{2} + 8)

= 6 (6 x^{2} + 8)^{5} \frac{d}{d x} (6 x^{2} + 8)

\frac{d}{d x} (6 x^{2} + 8) = 12 x

= 6 (6 x^{2} + 8)^{5} \cdot 12 x

簡素化

= 72 x (6 x^{2} + 8)^{5}

グラフ

人気の例

integral of (e^xsin(y))

\int (e^{x} sin (y)) d x

integral of (e^x)/((1-e^x)^5)

\int \frac{e ^{x}}{( 1 - e ^{x} ) ^{5}} d x

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

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

tangent f(x)= 1/(x+8),\at x=5

t an g e n t f (x) = \frac{1}{x + 8}, at x = 5

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

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