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 >

(\partial)/(\partial x)(ln(4x))

解

\frac{\partial}{\partial x} (ln (4 x))

解

\frac{1}{x}

解答ステップ

\frac{\partial}{\partial x} (ln (4 x))

連鎖法則を適用:

\frac{1}{4 x} \frac{\partial}{\partial x} (4 x)

= \frac{1}{4 x} \frac{\partial}{\partial x} (4 x)

\frac{\partial}{\partial x} (4 x) = 4

= \frac{1}{4 x} \cdot 4

簡素化

\frac{1}{4 x} \cdot 4 : \frac{1}{x}

= \frac{1}{x}

人気の例

derivative y=5x^2-10x-6x^{-2}

d er i v a t i v e y = 5 x^{2} - 10 x - 6 x^{- 2}

derivative of (sin(x)/(cos(x)))

\frac{d}{d x} (\frac{sin ( x )}{cos ( x )})

(\partial)/(\partial x)(-(x-y)/(x^2(x+y)))

\frac{\partial}{\partial x} (- \frac{x - y}{x ^{2} ( x + y )})

derivative f(x)=2(13-x^4)

d er i v a t i v e f (x) = 2 (13 - x^{4})

integral from 1 to 8 of 1/(xsqrt(16x^2-9))

\int_{1}^{8} \frac{1}{x 16 x ^{2} - 9} d x