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 (1/2 ^x)

解

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

解

- ln (2) (\frac{1}{2})^{x}

解答ステップ

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

導関数指数の法則を適用:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= (\frac{1}{2})^{x} ln (\frac{1}{2})

簡素化

(\frac{1}{2})^{x} ln (\frac{1}{2}) : - ln (2) (\frac{1}{2})^{x}

= - ln (2) (\frac{1}{2})^{x}

グラフ

人気の例

y^{''}-9y^'+3y=xe^x

y^{^{''}} - 9 y^{^{'}} + 3 y = x e^{x}

integral of (x^3+x^2+2x-3)

\int (x^{3} + x^{2} + 2 x - 3) d x

derivative of (ax^2+bx+ce^{-x/6})

\frac{d}{d x} ((a x^{2} + b x + c) e^{- \frac{x}{6}})

derivative y=7sin(4x)

d er i v a t i v e y = 7 sin (4 x)

(\partial)/(\partial y)(x^2y^5)

\frac{\partial}{\partial y} (x^{2} y^{5})