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人気のある微分積分 >

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

解

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

解

5 (x^{2} + 2 x)^{4} (2 x + 2)

解答ステップ

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

連鎖法則を適用:

5 (x^{2} + 2 x)^{4} \frac{d}{d x} (x^{2} + 2 x)

= 5 (x^{2} + 2 x)^{4} \frac{d}{d x} (x^{2} + 2 x)

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

= 5 (x^{2} + 2 x)^{4} (2 x + 2)

グラフ

人気の例

面積 y=x^2,y=x,y=2

a re a y = x^{2}, y = x, y = 2

derivative of (1^2/(2^1))

\frac{d}{d x} (\frac{1 ^{2}}{2 ^{1}})

sum from n=0 to infinity of (1/2)^{2n}

n = 0 \sum \infty (\frac{1}{2})^{2 n}

derivative y= 1/3 e^{3x}

d er i v a t i v e y = \frac{1}{3} e^{3 x}

integral from 0 to 1 of (2x+1)^4

\int_{0}^{1} (2 x + 1)^{4} d x