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 4t^{(-3)/8}

解

導関数

4 t^{\frac{- 3}{8}}

解

- \frac{3}{2 t ^{\frac{11}{8}}}

解答ステップ

\frac{d}{d t} (4 t^{\frac{- 3}{8}})

定数を除去:

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

= 4 \frac{d}{d t} (t^{\frac{- 3}{8}})

乗の法則を適用:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 4 \cdot \frac{- 3}{8} t^{\frac{- 3}{8} - 1}

簡素化

4 \cdot \frac{- 3}{8} t^{\frac{- 3}{8} - 1} : - \frac{3}{2 t ^{\frac{11}{8}}}

= - \frac{3}{2 t ^{\frac{11}{8}}}

グラフ

人気の例

derivative of pi/6

\frac{d}{d x} (\frac{π}{6})

y^{''}+2y^'-8y=6e-2x-e-x

y^{^{''}} + 2 y^{^{'}} - 8 y = 6 e - 2 x - e - x

derivative of (ax/(b+c))

\frac{d}{d x} (\frac{a x}{b + c})

integral of (sin^4(cot(x)))/(sin^2(x))

\int \frac{sin ^{4} ( cot ( x ) )}{sin ^{2} ( x )} d x

(\partial)/(\partial y)(tan(x^3y^2))

\frac{\partial}{\partial y} (tan (x^{3} y^{2}))