ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

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

解

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

解

- 20 x (3 - x^{2})^{4}

解答ステップ

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

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

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

連鎖法則を適用:

5 (3 - x^{2})^{4} \frac{d}{d x} (3 - x^{2})

= 5 (3 - x^{2})^{4} \frac{d}{d x} (3 - x^{2})

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

= 2 \cdot 5 (3 - x^{2})^{4} (- 2 x)

簡素化

= - 20 x (3 - x^{2})^{4}

グラフ

人気の例

integral from 0 to 3 of 2pix(9-x^2)

\int_{0}^{3} 2 π x (9 - x^{2}) d x

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

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

derivative y=(t*sin(t))^2+t*sin(t)

d er i v a t i v e y = (t \cdot sin (t))^{2} + t \cdot sin (t)

簡約 sec^2(2x)-tan^2(2x)

s im pl i f y sec^{2} (2 x) - tan^{2} (2 x)

(\partial)/(\partial x)(-4e^{-x-y})

\frac{\partial}{\partial x} (- 4 e^{- x - y})