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人気のある微分積分 >

derivative of (x+e^{2x}^3)

解

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

解

3 (x + e^{2 x})^{2} (1 + e^{2 x} \cdot 2)

解答ステップ

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

連鎖法則を適用:

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

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

\frac{d}{d x} (x + e^{2 x}) = 1 + e^{2 x} \cdot 2

= 3 (x + e^{2 x})^{2} (1 + e^{2 x} \cdot 2)

グラフ

人気の例

integral of (sec(x))^3

\int (sec (x))^{3} d x

derivative (7x)/(2^x)

d er i v a t i v e \frac{7 x}{2 ^{x}}

slopeintercept (-8,-4),(-6,-1)

s l o p e in t erce pt (- 8, - 4), (- 6, - 1)

derivative y= 4/3 x+2

d er i v a t i v e y = \frac{4}{3} x + 2

limit as x approaches infinity of (+x-2^{+x})/(3^x-5)

x \to \infty lim (\frac{+ x - 2 ^{+ x}}{3 ^{x} - 5})