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人気のある微分積分 >

derivative of (x+5x^2^3)

解

\frac{d}{d x} ((x + 5 x^{2})^{3})

解

3 (x + 5 x^{2})^{2} (1 + 10 x)

解答ステップ

\frac{d}{d x} ((x + 5 x^{2})^{3})

連鎖法則を適用:

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

= 3 (x + 5 x^{2})^{2} \frac{d}{d x} (x + 5 x^{2})

\frac{d}{d x} (x + 5 x^{2}) = 1 + 10 x

= 3 (x + 5 x^{2})^{2} (1 + 10 x)

グラフ

人気の例

y^'=(y^2)/(x^2)

y^{^{'}} = \frac{y ^{2}}{x ^{2}}

derivative y=arcsin((x+1)/(x-1))

d er i v a t i v e y = arcsin (\frac{x + 1}{x - 1})

limit as x approaches 0 of (x^3)/(x^2+1)

x \to 0 lim (\frac{x ^{3}}{x ^{2} + 1})

勾配 (2.5)(7.3)

s l o p e (2.5) (7.3)

derivative of ln(2x+2)

\frac{d}{d x} (ln (2 x + 2))